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
By using factor theorem in the following example, determine whether q(x) is a factor p(x) or not.
p(x) = x3 − x2 − x − 1, q(x) = x − 1
Prove that ( p-q) is a factor of (q - r)3 + (r - p) 3
Use the factor theorem to factorise completely x3 + x2 - 4x - 4.
If (x - 2) is a factor of the expression 2x3 + ax2 + bx - 14 and when the expression is divided by (x - 3), it leaves a remainder 52, find the values of a and b.
If both (x − 2) and `(x - 1/2)` is the factors of ax2 + 5x + b, then show that a = b
If p(a) = 0 then (x – a) is a ___________ of p(x)
If x – 3 is a factor of p(x), then the remainder is
If x – 2 is a factor of x3 – kx – 12, then the value of k is ______.
If x – 3 is a factor of x2 + kx + 15; the value of k is ______.
Is (x – 2) a factor of x3 – 4x2 – 11x + 30?
