91Ó°ÊÓ

Which of the following binomials are differences of squares? A. \(64-k^{2}\) B. \(2 x^{2}-25\) C. \(k^{2}+9\) D. \(4 z^{4}-49\)

Concept Check Which is not a valid way of starting the process of factoring the trinomial \(12 x^{2}+29 x+10 ?\) $$ \text { A. }(12 x \quad)(x \quad) $$ $$ \mathbf{B} .(4 x \quad)(3 x \quad) $$ $$ \text { c. }(6 x \quad)(2 x \quad) $$ $$ \mathbf{D} \cdot(8 x \quad)(4 x \quad) $$

Explain in your own words how the zero-factor property is used in solving a quadratic equation.

Concept Check Which is the completely factored form of \(2 x^{6}-5 x^{5}-3 x^{4} ?\) A. \(x^{4}(2 x+1)(x-3)\) B. \(x^{4}(2 x-1)(x+3)\) C. \(\left(2 x^{5}+x^{4}\right)(x-3)\) D. \(x^{3}\left(2 x^{2}+x\right)(x-3)\)

Concept Check One of the following equations is not in proper form for using the zerofactor property. Which one is it? Tell why it is not in proper form. A. \((x+2)(x-6)=0\) B. \(x(3 x-7)=0\) C. \(3 x(x+8)(x-9)=0\) D. \(x(x-3)+6(x-3)=0\)

Which of the following binomials are sums or differences of cubes? A. \(64+r^{3}\) B. \(125-p^{6}\) C. \(9 x^{3}+125\) D. \((x+y)^{3}-1\)

Which of the following trinomials are perfect squares? A. \(x^{2}-8 x-16\) B. \(4 m^{2}+20 m+25\) C. \(9 z^{4}+30 z^{2}+25\) D. \(25 p^{2}-45 p+81\)

Concept Check Which is not a factored form of \(-x^{2}+16 x-60 ?\) A. \((x-10)(-x+6)\) B. \((-x-10)(x+6)\) C. \((-x+10)(x-6)\) D. \(-(x-10)(x-6)\)

Concept Check Which is the completely factored form of \(4 x^{2}-4 x-24 ?\) A. \(4(x-2)(x+3)\) B. \(4(x+2)(x+3)\) c. \(4(x+2)(x-3)\) D. \(4(x-2)(x-3)\)

Factor each trinomial. $$ y^{2}+7 y-30 $$