The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 + xz2 + yz – 24.

What is the value of x?

What is the value of y?

2 answers

(4z^2 + 7z – 8)(–z + 3)
= -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24
= -4z^3 + 5z^2 + 29z - 24

matching this with –4z3 + xz2 + yz – 24

5z^2 = xz^2 ----> x = 5
29z = yz -----> y = 29
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