Question

If f(x) = x² + 5x - 4, then what is the remainder when f(x) is divided by
x-8?

Answer 1

• 100

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The Remainder Theorem states that:

• if you divide a polynomial f(x) by x - c, the remainder is equal to f(c).

Identify the value of c in the divisor x - 8. In this case, c = 8.

Plug the value of c into the function f(x).

• f(8) = (8)² + 5(8) - 4

Calculate the remainder.

• f(8) = 64 + 40 - 4 f(8) = 100

So, the remainder is 100.