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161c4b2b-69a4-40d8-b1cc-e52bc50a8aca.html
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<p><strong><em>Students will complete the following questions to practice the skills they have learned in this lesson.</em></strong></p>
<ol class="os-raise-noindent">
<li>\((5h^2)(-3h^2)\)</li>
</ol>
<ul>
<li>\(-15h^2\)</li>
<li>\(-15h^4\)</li>
<li>\(-15h\)</li>
<li>\(-15h^8\)</li>
</ul>
<p><strong>Answer:</strong> \(-15h^7\)</p>
<ol class="os-raise-noindent" start="2">
<li>\((-\frac45d^2s^2)(6ds^2)\)</li>
</ol>
<ul>
<li>\((-\frac{24}{5}d^2s^4)\)</li>
<li>\((-\frac{24}{5}d^3s^4)\)</li>
<li>\(-\frac{24}5d^3s^4\)</li>
<li>\(-\frac{24}{30}d^3s^4\)</li>
</ul>
<p><strong>Answer: </strong>\(-\frac{24}5d^3s^4\)</p>
<ol class="os-raise-noindent" start="3">
<li>\((n-4)(3n+7)\)</li>
</ol>
<ul>
<li>\(3n^2-19n+28\)</li>
<li>\(3n^2-12n+28\)</li>
<li>\(3n^2-5n-28\)</li>
<li>\(3n^2+5n-28\)</li>
</ul>
<p><strong>Answer:</strong> \(3n^2-5n-28\)</p>
<ol class="os-raise-noindent" start="4">
<li>\((3x^2+3)(7x-5)\) </li>
</ol>
<p><strong>Answer: </strong> \(21x^3-15x^2+21x-15\)</p>
<ol class="os-raise-noindent" start="5">
<li>\((m-6)(2m^2-7m+8)\) </li>
</ol>
<ul>
<li>\(2m^3-7m^2+8m\)</li>
<li>\(-6m^2-42m-48\)</li>
<li>\(2m^3+19m^2+34m-48\)</li>
<li>\(2m^3-19m^2+50m-48\)</li>
</ul>
<p><strong>Answer:</strong> \(2m^3-19m^2+50m-48\)</p>
<ol class="os-raise-noindent" start="6">
<li>\((c-4)(c^2+5c-9)\) </li>
</ol>
<ul>
<li>\(c^3+5c^2-9c\)</li>
<li>\(c^3+c^2-29c+36\)</li>
<li>\(-4c^2-20c+36\)</li>
<li>\(-4c^3+c^2-29c+36\)</li>
</ul>
<p><strong>Answer:</strong> \(c^3+c^2-29c+36\)</p>
<ol class="os-raise-noindent" start="7">
<li>\((5x - 3)^2\) </li>
</ol>
<p><strong>Answer:</strong> \(25x^2-30x+9\)</p>
<ol class="os-raise-noindent" start="8">
<li>\((11z + 7)(11z - 7)\) </li>
</ol>
<ul>
<li>\(121z^2-144z-49\)</li>
<li>\(121z^2-49\)</li>
<li>\(121z^2+144z-49\)</li>
<li>\(121z^2+49\)</li>
</ul>
<p><strong>Answer:</strong> \(121z^2-49\)</p>
<p>For questions 9–10, use the following polynomial functions.</p>
<blockquote>
<p>\(f(x) = 5x + 4v\)</p>
<p>\(g(x) = 5x - 4v\)</p>
</blockquote>
<ol class="os-raise-noindent" start="9">
<li>\(f(x) \cdot g(x)\) </li>
</ol>
<ul>
<li>\(25x^2+16v^2\)</li>
<li>\(25x^2-40xv+16v^2\)</li>
<li>\(25x^2+40xv+16v^2\)</li>
<li>\(25x^2-16v^2\)</li>
</ul>
<p><strong>Answer:</strong> \(25x^2-16v^2\)</p>
<ol class="os-raise-noindent" start="10">
<li>\(f(x) \cdot f(x)\) </li>
</ol>
<ul>
<li>\(25x^2+16v^2\)</li>
<li>\(25x^2-40xv+16v^2\)</li>
<li>\(25x^2+40xv+16v^2\)</li>
<li>\(25x^2-16v^2\)</li>
</ul>
<p><strong>Answer:</strong> \(25x^2+40xv+16v^2\)</p>