Question

Is x - 3 is a factor of P (x) =- 2x^4 + 4x^3 - 2x + 6 then evaluate p at the proper value

Answer 1

x - 3 is not a factor of p(x)

Explanation:

If (x - a) is a factor of f(x) then f(a) = 0

for (x - 3) to be a factor of p(x) , then p(3) = 0

substitute x = 3 into p(x) and evaluate

p(x) = -2
`x^(4)` + 4x³ - 2x + 6 , then

p(3) = - 2
`(3)^(4)` + 4(3)³ - 2(3) + 6

= - 2(81) + 4(27) - 6 + 6

= - 162 + 108 + 0

= - 54

Since p(3) ≠ 0, then x - 3 is not a factor pf p(x)