2. Q2c
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Similar Question 1
<p>Solve for x.</p><p><code class='latex inline'> \displaystyle x^3 + x^2 -21x + 21 \leq 3x^2 - 2x + 1 </code></p>
Similar Question 2
<p>Solve the following inequality.</p><p><code class='latex inline'>\displaystyle (x+1)(x-5)(x+2) > 0 </code></p>
Similar Question 3
<p>Solve for x.</p><p><code class='latex inline'> \displaystyle (x + 1)(x-2)(x + 3)^2 < 0 </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>Solve the following inequality using graphing tech.</p><p><code class='latex inline'> \displaystyle x^3 -2x^2 + x- 3 \geq 2x^3 + x^2 -x + 1 </code></p>
<p>Solve each polynomial inequality by first finding the approximate zeros using a graphing device. Round answers to two decimal places.</p><p><code class='latex inline'>x^3 + x^2 - 3x - 1 \leq 0</code></p>
<p>Solve each polynomial inequality by first finding the approximate zeros of the related polynomial function. Round answers to two decimal places.</p><p><code class='latex inline'>2x^3 + 4x^2 - x - 1 \geq 0</code></p>
<p>Solve using technology.</p><p><code class='latex inline'> -x^4 + 3x^3 + 9x^2 > 5x + 5 </code></p>
<p>Solve by factoring.</p><p><code class='latex inline'>\displaystyle -3x^4 + 10x^3 + 20x^2 -40x + 32 < 0 </code></p>
<p>During which intervals of x is the graph of the function</p><p><code class='latex inline'>\displaystyle f(x) = -(x+ 3)(x + 5)(x - 1) </code> below the x-axis?</p>
<p>Solve the following inequality.</p><p><code class='latex inline'>\displaystyle (x+1)(x-5)(x+2) > 0 </code></p>
<p>Solve using technology.</p><p><code class='latex inline'>x^3 +3x \leq 8x^2 - 9</code></p>
<p>Solve the following inequality.</p><p><code class='latex inline'>\displaystyle (2 x-4)^{2}(x+3) \geq 0 </code></p>
<p>Solve each polynomial inequality by first finding the approximate zeros of the related polynomial function. Round answers to two decimal places.</p><p><code class='latex inline'>3x^3 + 4x^2 - 5x - 3 < 0</code></p>
<p>Solve using using technology.</p><p><code class='latex inline'>\displaystyle x^3 -2x^2 -5x + 2 < 0 </code></p>
<p>Write the intervals into which the x-axis is divided by each set of x-intercepts of a polynomial function.</p><p>x = <code class='latex inline'>-4, -2, \frac{2}{5}, 4.2</code></p>
<p>Solve the inequality. Show your solution on a number line.</p><p><code class='latex inline'>\displaystyle (x^2 + 4 + 4)(x^2- 25)> 0 </code></p>
<p>Solve by factoring.</p><p><code class='latex inline'>\displaystyle 2x^3 + 5x^2 -18x -45 \leq 0 </code></p>
<p>Solve using technology.</p><p><code class='latex inline'> 2x^4 + 5x^3 -3x^2 -15x -9 \geq 0 </code></p>
<p>Write the intervals into which the x-axis is divided by each set of x-intercepts of a polynomial function.</p><p><code class='latex inline'>x = -1, 5</code></p>
<p>Solve using using technology.</p><p><code class='latex inline'>\displaystyle -x^4 -2x^3 + 4x^2 + 10x + 5 < 0 </code></p><p><strong>You may use a graphing device for this question</strong></p>
<p>Hundreds of thousands of cubic metres of wood are harvested each year. The function </p><p><strong>requires a graphing device</strong></p><p><code class='latex inline'> \displaystyle f(x) = 1135x^4 -8197x^3 + 15 868x^2 - 2157x + 176 608, 0 \leq x \leq 4, </code></p><p>models the volume harvested, in cubic metres, from 1993 to 1997. Estimate the intervals (in years and months) when less than <code class='latex inline'>185 000 m^3</code> were harvested.</p>
<p>Write the intervals into which the x-axis is divided by each set of x-intercepts of a polynomial function.</p><p><code class='latex inline'>x = -7, 2, 0</code></p>
<p>Solve for x.</p><p><code class='latex inline'> \displaystyle -2(x - 1)(2x + 5)(x - 7) > 0 </code></p>
<p>Solve for x.</p><p><code class='latex inline'> \displaystyle (x + 1)(x-2)(x + 3)^2 < 0 </code></p>
<p>Solve by factoring.</p><p><code class='latex inline'>\displaystyle 2x^4 + 5x^3 -8x^2 -17x -6 \geq 0 </code></p>
<p>Solve.</p><p><code class='latex inline'>5x^3 - 7x^2 - x + 4 > 0</code></p>
<p>Solve using technology.</p><p><code class='latex inline'> x^3 + 3x^2 -4x - 7 < 0 </code></p>
<p>Solve using using technology.</p><p><code class='latex inline'>\displaystyle 2x^3 -13x^2 +17x + 12 > 0 </code></p><p><strong>You may use a graphing device for this question</strong></p>
<p>Solve by factoring.</p><p><code class='latex inline'>\displaystyle -x^3 + 6x^2 -9x > 0 </code></p>
<p>Solve using using technology.</p><p><code class='latex inline'>\displaystyle 3x^3 + 4x^2 -35x -12 \leq 0 </code></p><p><strong>You may use a graphing device for this question</strong></p>
<p>Solve for x.</p><p><code class='latex inline'> \displaystyle \frac{(x-4)(2x + 3)}{5} \geq \frac{2x + 3}{5} </code></p>
<p>Solve by factoring.</p><p><code class='latex inline'>\displaystyle 6x^3 + 13x^2 -41x + 12 \leq 0 </code></p>
<p>Solve for x.</p><p><code class='latex inline'> \displaystyle x^3 + x^2 -21x + 21 \leq 3x^2 - 2x + 1 </code></p>
<p>Solve the inequality. Show your solution on a number line.</p><p><code class='latex inline'>\displaystyle -(2x + 3)(x - 1)(3x -2) \leq 0 </code></p>
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