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Algebra Questions & Answers

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\( 3x^{3}+ax^{2}+bx-1 \)
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? QUESTION The area of a rectangle is \( 28 \mathrm{ft}^{2} \), and the length of the rectangle is 1 ft more than twice the width. Find the dimensions of the rectangle.
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13 Permudahkan/ Simplify \[ \begin{array}{ll}\frac{q^{3} \times\left(q^{10} r^{2}\right)^{2}}{\left(\sqrt[3]{125} q^{6} r^{2}\right)^{5}} \div \frac{(q r)^{-15}}{\left(50 q^{2} r^{4}\right)^{\frac{1}{2}}} \\ \begin{array}{ll}\text { A } \frac{\sqrt{2}}{5^{2}} q^{3} r^{9} & \text { C } \frac{\sqrt{2}}{5^{5}} q^{3} r^{9} \\ \text { B } \frac{\sqrt{2}}{25} q^{-3} r^{-9} & \text { D } \frac{25}{\sqrt{2}} q^{3} r^{9}\end{array}\end{array} \$ \]
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\( 2.1 .2 \quad 2 x ^ { 2 } - 5 x + 2 = 0 \)
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1.6 Indien \( \frac{3}{2} \) een wortel van die vergelyking \( b x^{2}-x=3 \) is, bepaal \( b \) en die ander wortel.
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Hallar la solucion de las sig. ecuaciones. \( x^{3}+5 x^{2}+6 x=0 \) \( 3 x^{2}+12=0 \) \( x^{3}-8 x^{2}+21 x-20=0 \) \( x^{2}+25=0 \) \( x^{4}+4 x^{3}+28 x^{2}-4 x-29=0 \) \( x^{4}+3 x^{2}-10=0 \) \( x^{4}+2 x^{2}+1=0 \) \( x^{6}-9 x^{3}+8=0 \) \( 2 x^{2}-x+3=0 \)
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Graph the function. \[ g(x)=-2 x^{2}+1 \]
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(1) \( \begin{aligned}-0.65 x+0.35 x & =8.7 \\ 21 & =8.7\end{aligned} \)
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2.2 Express the following in partial fractions 2.2.1 \( \frac{5 x-3}{x^{2}-3 x-4} \) 2.2.2 \( \frac{7 x-11}{(x-2)^{2}} \)
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Solve for \( x \) in each: \( \begin{array}{l}1.1 \\ (x-1)^{2}=\sqrt{16} \\ 1.2 \quad 3 x^{2}-5 x=14 \text { (correct to two decimal places) } \\ 1.3 \quad x-2=\sqrt{8-x} \\ 1.4 \quad x^{2}+5 x<-6 \\ 1.5 \quad(\sqrt{81})^{x+1}=81^{2 x} \\ 1.6 \quad \text { If } \frac{3}{2} \text { is one root of the equation } b x^{2}-x=3 \text {, determine } b \text { and the other root. }\end{array} \) (3) (4)

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