Question

If x-3 is a factor of x²-kx+12 then find the value of k. Also, find the other factor for this value of k.

Answer 1

P(x) = x² - kx + 12

x -3 is a factor of p(x)

x - 3 = 0

x = 3

p(3) = 0

p(3) = 3² - 3k + 12

9 - 3k + 12 = 0

21 - 3k = 0

21 = 3k

k = 7

Hope this helps you