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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

Question 5 Let P be a polynomial function If x2 is a factor of thepolynomial what is the value of uPx 3x3 ux 15x 142862 class=

Respuesta :

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

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