Now You Try

<p>Each diagram represents a polynomial. Identify the polynomial and its factors.</p><p><code class='latex inline'>\displaystyle \begin{array}{|c|c|c|c|}\hline x & x & x & 1 \\ \hline x^{2} & x^{2} & x^{2} & x \\ \hline x^{2} & x^{2} & x^{2} & x \\ \hline x^{2} & x^{2} & x^{2} & x \\ \hline\end{array} </code></p>

<p>Each diagram represents a polynomial. Identify the polynomial and its factors.</p><p><code class='latex inline'>\displaystyle \begin{array}{|c|c|c|}\hline x & x & -1 \\ \hline x^{2} & x^{2} & -x \\ \hline x^{2} & x^{2} & -x \\ \hline \\ \hline\end{array} </code></p>

<p>What number must you add to the following to create a perfect square?</p><img src="/qimages/2085" />

<p>What number must you add to the following to create a perfect square?</p><img src="/qimages/2086" />

<p>In each diagram, two terms of a polynomial have been rearranged to show their common factor. For each, identify the terms of the polynomial and the common factor.</p><img src="/qimages/2216" />

<p>The tiles in the model represent an algebraic expression. Identify the expression and the greatest common factor of its terms.</p><img src="/qimages/6239" />

<p>What are the factors of each polynomial being modelled?</p><p><code class='latex inline'>\displaystyle \begin{array}{|l|l|}\hline x & x \\ \hline x & x \\ \hline x & x \\ \hline -x^{2} & -x^{2} \mid \\ \hline \\ \hline\end{array} </code></p>

<p>In each diagram, two terms of a polynomial have been rearranged to show their common factor. For each, identify the terms of the polynomial and the common factor.</p><img src="/qimages/2217" />

<p>What are the factors of each polynomial being modelled?</p><img src="/qimages/54166" />

<p>The tiles shown represent a polynomial. Identify the polynomial and its factors.</p><img src="/qimages/5987" />

<p>Factor fully, if possible.</p><p><code class='latex inline'>14m+21n</code></p>

<p>In each diagram, two terms of a polynomial have been rearranged to show their common factor. For each, identify the terms of the polynomial and the common factor.</p><img src="/qimages/2218" />

<p>The tiles shown represent the terms of a polynomial. Identify the polynomial and the common factor of its terms.</p><img src="/qimages/5986" />

<p>The diagram below represents a polynomial multiplication. Which two polynomials are being multiplied and what is the product?</p><img src="/qimages/5984" />

<p>In each diagram, two terms of a polynomial have been rearranged to show their common factor. For each, identify the terms of the polynomial and the common factor.</p><img src="/qimages/2219" />

<p>The tiles in the model represent an algebraic expression. Identify the expression and the greatest common factor of its terms.</p><img src="/qimages/6240" />