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Factorisation by Regrouping Terms

If ( x – 1) a...

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If ( x – 1) and (x – 2) are factors of x3 + ax2 + bx – 2, then the value of a and b respectively, are

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(x - 2)

is a common factor of

x^{3} - 4 x^{2} + a x + b

x^{3} - a x^{2} + b x + 8

, then the values of

a

b

are respectively :

Q. If (x-2) & (x+3) are both factors of the polynomial (x)=x³+ax²+bx-12 find the values of a and b.

(x + 3)

(x + \frac{1}{3})

a x^{2} + b x + 5

, then the value of

10 a - 3 b + 1

Q. Find the values of

a

b

x - 2

x + 3

are the factors of equation

x^{3} + a x^{2} + b x - 12 = 0

If a,b and c are three nonzero numbers and the polynomial p(x) = x³+ ax² + bx - c factors as (x - a) (x - b ) (x - c ), then the value of p(3) is

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Factorisation by Regrouping Terms

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