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Problem 138

Exercises \(137-139\) will help you prepare for the material covered in the next section. In each exercise, factor completely. $$2 x^{2}-20 x+50$$

Problem 139

In Exercises \(137-141,\) factor completely. $$4 x^{4}-9 x^{2}+5$$

Problem 139

Exercises \(137-139\) will help you prepare for the material covered in the next section. In each exercise, factor completely. $$x^{3}-2 x^{2}-x+2$$

Problem 140

In Exercises \(137-141,\) factor completely. $$(x+5)^{2}-20(x+5)+100$$

Problem 141

In Exercises \(137-141,\) factor completely. $$3 x^{2 n}-27 y^{2 n}$$

Problem 142

In Exercises \(142-146,\) use the \([\mathrm{GRAPH}]\) or \([\text { TABLE }]\) feature of a graphing utility to determine if the polynomial on the left side of each equation has been correctly factored. If not, factor the polynomial correctly and then use your graphing utility to verify the factorization. $$4 x^{2}-12 x+9=(4 x-3)^{2} ;[-5,5,1] \text { by }[0,20,1]$$

Problem 143

In Exercises \(142-146,\) use the \([\mathrm{GRAPH}]\) or \([\text { TABLE }]\) feature of a graphing utility to determine if the polynomial on the left side of each equation has been correctly factored. If not, factor the polynomial correctly and then use your graphing utility to verify the factorization. $$\begin{aligned} &3 x^{3}-12 x^{2}-15 x=3 x(x+5)(x-1) ;[-5,7,1] \text { by }\\\ &[-80,80,10] \end{aligned}$$

Problem 144

In Exercises \(142-146,\) use the \([\mathrm{GRAPH}]\) or \([\text { TABLE }]\) feature of a graphing utility to determine if the polynomial on the left side of each equation has been correctly factored. If not, factor the polynomial correctly and then use your graphing utility to verify the factorization. $$\begin{aligned} &6 x^{2}+10 x-4=2(3 x-1)(x+2) ;[-5,5,1] \text { by }\\\ &[-20,20,2] \end{aligned}$$

Problem 145

In Exercises \(142-146,\) use the \([\mathrm{GRAPH}]\) or \([\text { TABLE }]\) feature of a graphing utility to determine if the polynomial on the left side of each equation has been correctly factored. If not, factor the polynomial correctly and then use your graphing utility to verify the factorization. $$\begin{aligned} &x^{4}-16=\left(x^{2}+4\right)(x+2)(x-2) ;[-5,5,1] \text { by }\\\ &[-20,20,2] \end{aligned}$$

Problem 146

In Exercises 142-146, use the GRAPH or TABLE feature of a graphing utility to determine if the polynomial on the left side of each equation has been correctly factored. If not, factor the polynomial correctly and then use your graphing utility to verify the factorization. \(2 x^{3}+10 x^{2}-2 x-10=2(x+5)\left(x^{2}+1\right) ;[-8,4,1]\) by [-100,100,10]

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