Dividing the polynomial P(x) by x-4 yields a quotient Q(x) and a remainder of 9 if Q(-4)=-2 find P(-4) and P(4)

Answer 1

Hi Bryan,

P(x) / (x-4) = Q(x) + 9 / (x-4)

P(x) = Q(x)(x-4) + 9

to get value of P(4), you plug x=4 into the equation,

P(4) = Q(4)(4-4) + 9

P(4) = 9

If you remember Remainder Theorem, you will notice that P(4) is the remainder when P(x) is divided by (x-4)

To find P(-4), you plug x=-4, into the equation, and with Q(-4) given as -2, you should be able to solve it.