Answer:
Hence, the value of x is 5 and y=29
Step-by-step explanation:
We are asked to find the product of \(4z^2+7z-8\) and \((-z+3)\) and equate it to the equation:
\(-4z^3 + xz^2 + yz-24\) and find the values of x and y in the second equation.
The product of \(4z^2+7z-8\) and \((-z+3)\) is:
\((4z^2+7z-8)\times(-z+3)= (4z^2+7z-8)\times(-z)+3\times (4z^2+7z-8)\\=-4z^3-7z^2+8z+12z^2+21z-24=-4z^3+5z^2+29z-24\)
Hence on comparing with \(-4z^3 + xz^2 + yz-24\) we have:
\(-4z^3 + xz^2 + yz-24=-4z^3+5z^2+29z-24\)
so we get that x=5, y=29
