Advertisements
Advertisements
प्रश्न
If x – 2 is a factor of 2x3 - x2 - px - 2.
Find the value of p
Advertisements
उत्तर
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
संबंधित प्रश्न
If (x + 2) and (x + 3) are factors of x3 + ax + b, find the values of ‘a’ and ‘b’.
Show that x – 2 is a factor of 5x2 + 15x – 50.
Find the values of m and n so that x – 1 and x + 2 both are factors of x3 + (3m + 1)x2 + nx – 18.
Find the value of k, if 2x + 1 is a factor of (3k + 2)x3 + (k − 1).
Find the value of m ·when x3 + 3x2 -m x +4 is exactly divisible by (x-2)
Prove that ( p-q) is a factor of (q - r)3 + (r - p) 3
If x – 2 is a factor of 2x3 - x2 - px - 2.
with the value of p, factorize the above expression completely.
Find the value of the constants a and b, if (x – 2) and (x + 3) are both factors of the expression x3 + ax2 + bx – 12.
If (x + 2) and (x – 3) are factors of x3 + ax + b, find the values of a and b. With these values of a and b, factorise the given expression.
If (x – 1) divides the polynomial kx3 – 2x2 + 25x – 26 without remainder, then find the value of k
