Question

Find the value of k if rhe remainder is (a) 3 and (b) 5 (5x²-kx+4)÷(x+3)

Answer 1

Answer:

k = -44/3 and k = -46/3

Step-by-step explanation:

on dividing the polynomial p(x) by (x+3) the reminder will be p(-3)

p(-3) = 5(-3)²-k(-3)+4

p(-3) = 45+3k+4

p(-3) = 49+3k

a) when remainder is 3

3 = 49+3k

3k = 3-49

3k = -46

k = -46/3

b) when remainder is 5

5= 49+3k

3k = 5-49

3k = -44

k = -44/3