Question

Determine P(c) using the remainder theorem.. (look at image)

Answer 1

P(-5) = 109

Explanation:

Remainder theorem:

If the polynomial p(x) is divided by the linear polynomial (x-a), the remainder is p(a).

Dividend = divisor * quotient + remainder.

p(x) = (x-a) * q(x) + p(a)

Here, q(x) is the quotient and p(a) is the remainder.

P(x) = 4x² - x + 4

P(-5) = 4*(-5)² - 1*(-5) + 4

= 4*25 + 5 + 4

= 100 + 5 + 4

= 109