Home
Class 14
MATHS
What are the values of p and q respectiv...

What are the values of p and q respectively, if `(x-1)` and `( x+ 2)` divide the polynomial `x^(3) + 4x^(2)+ px +q` ?

A

1,-6

B

2,-6

C

1,6

D

2,6

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Find p and q so that (x + 2)" and "(x – 1) may be factors of the polynomial f(x) = x^(3) + 10x^(2) + px + q .

Find the values of p and q respectively for which the equation 2x^(2) + px = q has root - 3 and factor (x-5).

on dividing a polynomial p(x) by x^2 - 4, quotient and remainder are found to be x and 3 respectively. the polynomial p(x) is a) 3 x^2 +x -12 b) x^3 -4x +3 c) x^2 +3x-4 d) x^3 -4x-3

For which values of a and b ,are the zeroes of q(x)=x^(3)+2x^(2)+a also the zeroes of the polynomial p(x)=x^(5)-x^(4)-4x^(3)+3x^(2)+3x+b ? Which zeroes of p(x) are not the zeroes of q(x) ?

Consider an unknow polynomial which divided by (x - 3) and (x-4) leaves remainder 2 and 1, respectively. Let R(x) be the remainder when this polynomial is divided by (x-3)(x-4) . If R(x) = px^(2) + (q-1) x + 6 has no distinct real roots and p gt 0 , then the least value of 3p + q is

If (x-k) is a factor of the polynomials x^(2)+px+q & x^(2)+mx+n .The value of "k" is

On dividing the polynomial f(x)=x^(3)-3x^(2)+x+2 by a polynomial g(x), the quotient q(x) and remainder r(x) where q(x)=x-2 and r(x)=-2x+4 respectively.Find the polynomial g(x) .