Advertisements
Advertisements
Question
If x – 2 is a factor of 2x3 - x2 - px - 2.
Find the value of p
Advertisements
Solution
Given expression is 2x3 - x2 - px - 2 and x - 2 is the factor.
x - 2 = 0, x = 2 in expression
2(2)3 - (2)2 - p(2) - 2 = 0
16 - 4 - 2p - 2 = 0
10 - 2p = 0
p = 5
RELATED QUESTIONS
Show that x – 2 is a factor of 5x2 + 15x – 50.
If 2x + 1 is a factor of 2x2 + ax – 3, find the value of a.
Find the values of m and n so that x – 1 and x + 2 both are factors of x3 + (3m + 1)x2 + nx – 18.
Prove by factor theorem that
(x-2) is a factor of 2x3- 7x -2
Find the value of m ·when x3 + 3x2 -m x +4 is exactly divisible by (x-2)
Given that x + 2 and x + 3 are factors of 2x3 + ax2 + 7x - b. Determine the values of a and b.
Determine whether (x – 1) is a factor of the following polynomials:
x4 + 5x2 – 5x + 1
If (x – 1) divides the polynomial kx3 – 2x2 + 25x – 26 without remainder, then find the value of k
Is (x – 2) a factor of x3 – 4x2 – 11x + 30?
If mx2 – nx + 8 has x – 2 as a factor, then ______.
