6. Q6b
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Similar Question 1
<p>Determine the missing factor.</p><p><code class='latex inline'>x^2 - xy^3 = (x)(\blacksquare)</code></p>
Similar Question 2
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 9 y-9 </code></p>
Similar Question 3
<p>Name the greatest common factor of each polynomial.</p><p><code class='latex inline'>-15x^2-10</code></p>
Similar Questions
Learning Path
L1 Quick Intro to Factoring Trinomial with Leading a
L2 Introduction to Factoring ax^2+bx+c
L3 Factoring ax^2+bx+c, ex1
Now You Try
<p>Factor.</p><p><code class='latex inline'>\displaystyle 4 m^{2}-28 m </code></p>
<p>Factor, using the greatest common factor.</p><p><code class='latex inline'>5a(a+7)+2(a+7)</code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 5 p q r-p q s-10 p q t </code></p>
<p>Factor the expression.</p><p><code class='latex inline'>7z + 35</code></p>
<p>Factor fully, if possible.</p><p><code class='latex inline'>15a^4b^3-10a^2b^5</code></p>
<p>Determine the missing factor.</p><p><code class='latex inline'>\displaystyle 7 x^{2}-14 x=7 x(?) </code></p>
<p>Factor the expression.</p><p><code class='latex inline'>-28x^2 + 4x^3</code></p>
<p>Factor.</p><p><code class='latex inline'>10a^2b^3+20a^2b-15a^2b^2</code></p>
<p>Factor if possible.</p><p><code class='latex inline'>\displaystyle 5 t-35 </code></p>
<p>Use algebra tiles or a diagram to illustrate the factoring of each polynomial.</p><p><code class='latex inline'>3x^2+6x</code></p>
<p>Factor fully, if possible.</p><p><code class='latex inline'>3x^3-5x^2</code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 6 r s t+3 r s-7 t </code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 24 x y^{2}-12 x y+36 x^{2} y </code></p>
<p>Determine the missing factor.</p><p><code class='latex inline'>7x - 28y = (\blacksquare)(x - 4y)</code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 3 t(x-y)-(x+y) </code></p>
<p>State the GCF for the following pair of terms.</p><p><code class='latex inline'>-8a^2b</code> and <code class='latex inline'>-12ab^2</code></p>
<p>Factor.</p><p><code class='latex inline'>3x(x+y)-y(x+y)</code></p>
<p> Write a polynomial with three terms that has a GCF of <code class='latex inline'>x</code>.</p>
<p>The formula for the perimeter of a rectangle is <code class='latex inline'>P=2l+2w</code>.</p> <ul> <li>Write the formula in factored form.</li> </ul>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 24 x y^{2}+16 x^{2} y </code></p>
<p>State the GCF for the following pair of terms.</p><p><code class='latex inline'>c^4 d^2</code> and <code class='latex inline'>c^3 d</code></p>
<p>Determine the missing factor.</p><p><code class='latex inline'>\displaystyle 3 a^{2}+15 a-9=(?)\left(a^{2}+5 a-3\right) </code></p>
<p>Factor.</p><p><strong>a)</strong> <code class='latex inline'> \displaystyle 12y + 24z </code></p><p><strong>b)</strong> <code class='latex inline'> \displaystyle 11xy - 9xz </code></p><p><strong>c)</strong> <code class='latex inline'> \displaystyle c^2 + 3c </code></p><p><strong>d)</strong> <code class='latex inline'> \displaystyle 4k - 8k^3 </code></p>
<p>Factor fully, if possible.</p><p><code class='latex inline'>12r^5+18r^3</code></p>
<p>Name the greatest common factor of each polynomial.</p><p><code class='latex inline'>-15x^2-10</code></p>
<p>Determine the missing factor.</p><p><code class='latex inline'>-15x^2 + 6y^2 = (\blacksquare)(5x^2 -2y^2)</code></p>
<p>Use pictures and words to show how to factor <code class='latex inline'>\displaystyle -2 x^{2}+8 x </code>.</p>
<p>Factor the polynomial.</p><p><code class='latex inline'>\displaystyle 12 a^{4}+8 a </code></p>
<p>Show that <code class='latex inline'>(3a-2)</code> is a common factor of <code class='latex inline'>2a(3a-2)+7(2-3a)</code>.</p>
<p>Determine the missing factor.</p><p><code class='latex inline'>6x - 9y = (3)(\blacksquare)</code></p>
<p>Factor.</p><p><code class='latex inline'>x(3x-2)+(3x-2)(x+1)</code></p>
<p>Determine the missing factor.</p><p><code class='latex inline'>4x-4y=(\square)(x-y)</code></p>
<p>Factor, using the greatest common factor.</p><p><code class='latex inline'>5x^2-20x</code></p>
<p>State the GCF for the following pair of terms.</p><p><code class='latex inline'>x^3</code> and <code class='latex inline'>x^2</code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 4 y(p+q)-x(p+q) </code></p>
<p>Write a polynomial with three terms that has a GCF of <code class='latex inline'>2a^2b^3</code>.</p>
<p>Factor the expression.</p><p><code class='latex inline'>x^2y^4 - xy^2 + x^3y</code></p>
<p>Factor.</p><p><code class='latex inline'>5y(x-2)-7(2-x)</code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 35 x y-10 y^{2} </code></p>
<p>Determine the missing factor.</p><p> <code class='latex inline'>30m^2n^3=(-5m^2n)(\square)</code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 33 a b+22 b c-11 b^{2} </code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 7 x(m+4)-3(m-4) </code></p>
<p>Use algebra tiles or a diagram to illustrate the factoring of each polynomial.</p><p> <code class='latex inline'>6x^2+4x</code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 25 x^{2}+10 x </code></p>
<p>Determine the missing factor.</p><p><code class='latex inline'>x^2 - xy^3 = (x)(\blacksquare)</code></p>
<p>Factor.</p><p><code class='latex inline'>\displaystyle x(m-2)-4(m-2) </code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 3 x-15 y </code></p>
<p>Determine the missing factor.</p><p><code class='latex inline'>24a^2 + 12b^2 = (\blacksquare)(2a^2 + b^2)</code></p>
<p>Factor the expression.</p><p><code class='latex inline'>5m^2 - 10mn + 5</code></p>
<p>Factor the following fully.</p><p><code class='latex inline'>\displaystyle y(y - 6) + 9(y - 6) </code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 9 y-9 </code></p>
<p> Write a polynomial with two terms that has a GCF of <code class='latex inline'>5y^2</code>.</p>
<p>Factor.</p><p><code class='latex inline'>\displaystyle 9d^2e^2 +6d^3e </code></p>
<p>Factor each polynomial.</p><p><code class='latex inline'>\displaystyle 15 y^{2}-240 </code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 5 x(a+b)+3(a+b) </code></p>
<p>Factor.</p><p><code class='latex inline'>3x(x+7)-2(x+7)</code></p>
<p>Determine the missing factor.</p><p><code class='latex inline'>a^4b^3 - a^3b^2 = (a^3b^2)(\blacksquare)</code></p>
<p>State the GCF for the following pair of terms.</p><p><code class='latex inline'>10y</code> and <code class='latex inline'>5y^2</code></p>
<p>Factor, if possible.</p><p>5rst <code class='latex inline'>\displaystyle -15 a b+7 c d </code></p>
<p>Factor if possible.</p><p><code class='latex inline'>\displaystyle 2 x y-8 x y^{2}-4 x^{2} y^{3} </code></p>
<p>Factor if possible.</p><p><code class='latex inline'>\displaystyle 5 y^{2}+20 y </code></p>
<p>Factor.</p><p><code class='latex inline'>27x^2-9x</code></p>
<p>Factor.</p><p><code class='latex inline'>-8m^2+20m</code></p>
<p>Factor fully, if possible.</p><p><code class='latex inline'>5p+7q</code></p>
<p>Factor fully, if possible.</p><p><code class='latex inline'>\displaystyle 36 x^{2}+100 y^{2} </code></p>
<p>Determine the missing factor.</p><p><code class='latex inline'>-49a^2b^5=(\square)(7b^3)</code></p>
<p>Factor if possible.</p><p><code class='latex inline'>\displaystyle 5 a(y-2)+7(y+2) </code></p>
<p>Determine the missing factor.</p><p><code class='latex inline'>36x^2-32y^3=(4)(\square)</code></p>
<p>Name the common factor of the terms of the polynomial.</p><p> <code class='latex inline'>5x^2+3x</code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 5 x+25 </code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 3 m(x-1)+5(x-1) </code></p>
<p>Factor if possible.</p><p><code class='latex inline'>\displaystyle m(x+4)-3(x+4) </code></p>
<p>Determine the missing factor.</p><p><code class='latex inline'>-12x^3y^3=(3y^3)(\square)</code></p>
<p>Factor.</p><p> <code class='latex inline'>5x^2y-10xy^2</code></p>
<p>Factor if possible.</p><p><code class='latex inline'>\displaystyle 7 s t-22 m n </code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 4 a x+8 a y-6 a z </code></p>
<p>Determine the missing factor.</p><p><code class='latex inline'>\displaystyle 10 b^{4}-20 b^{2}=10 b^{2}(?) </code></p>
<p>Name the greatest common factor of each polynomial.</p><p> <code class='latex inline'>16x^2-8x+10</code></p>
<p>State the GCF for the following pair of terms.</p><p><code class='latex inline'>27 m^4 n^2</code> and <code class='latex inline'>36 m^2 n^3</code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 4 x+13 </code></p>
<p>State the GCF for the following pair of terms.</p><p><code class='latex inline'>24</code> and <code class='latex inline'>60</code></p>
<p>Factor fully, if possible.</p><p><code class='latex inline'>9b+7c-5d</code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 24 w^{5}+6 w^{3} </code></p>
<p>Factor, if possible.</p><p><code class='latex inline'>\displaystyle 4 t(m+7)+(m+7) </code></p>
<p>Factor.</p><p><code class='latex inline'>3m^2-6m^3</code></p>
<p>a) Give three examples of polynomials that have a greatest common factor of <code class='latex inline'>\displaystyle 7 x </code>. b) Factor each polynomial from part (a).</p>
<p>Factor, using the greatest common factor.</p><p><code class='latex inline'>4m(3m-2)-(3m-2)</code></p>
<p>Factor</p><p><code class='latex inline'>\displaystyle 3 a(5-7 a)-2(7 a-5) </code></p>
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