Questions: (a^3 - 7a^2 - 64) / (a - 8) =

Transcript text: \[ \frac{a^{3}-7 a^{2}-64}{a-8}= \]

Solution

Solution Steps

To simplify the given expression, we can use polynomial long division or synthetic division. The goal is to divide the polynomial \(a^3 - 7a^2 - 64\) by \(a - 8\) and find the quotient.

Step 1: Define the Polynomial and Divisor

We start with the polynomial \(a^3 - 7a^2 - 64\) and the divisor \(a - 8\).

Step 2: Perform Polynomial Division

We perform the division of \(a^3 - 7a^2 - 64\) by \(a - 8\) to find the quotient and remainder.

Step 3: Simplify the Expression

The quotient obtained from the division is \(a^2 + a + 8\) and the remainder is \(-8\).

Final Answer

The simplified form of the given expression is: \[ \boxed{a^2 + a + 8 - \frac{8}{a - 8}} \]

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >