Question

Question 5: Let P be a polynomial function. If (x-2) is a factor of thepolynomial, what is the value of u?P(x) = 3x3 – ux? - 15x + 14-28-62

Answer 1

Remember that

If (x-2) is a factor

then

For x=2

P(2)=0

so

substitute

0=3(2^3)-u(2^2)-15(u)+14

solve for u

0=24-4u-15u+14

0=38-19u

19u=38

u=2