Advertisements
Advertisements
Question
Factorise the following:
9x2 – 12x + 4
Solution
9x2 – 12x + 4 = (3x)2 – 2 × 3x × 2 + (2)2
= (3x – 2)2 ...[Using identity, (a – b)2 = a2 – 2ab + b2]
= (3x – 2)(3x – 2)
APPEARS IN
RELATED QUESTIONS
Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case:
p(x) = x3 − 4x2 + x + 6, g(x) = x − 3
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = kx2 – 3x + k
Factorise:
2x2 + 7x + 3
Factorise:
x3 + 13x2 + 32x + 20
Factorise:
2y3 + y2 – 2y – 1
Find the factor of the polynomial given below.
`sqrt 3 x^2 + 4x + sqrt 3`
Factorize the following polynomial.
(x2 – 6x)2 – 8 (x2 – 6x + 8) – 64
If x + 1 is a factor of ax3 + x2 – 2x + 4a – 9, find the value of a.
Factorise:
`a^3 - 2sqrt(2)b^3`
If both x – 2 and `x - 1/2` are factors of px2 + 5x + r, show that p = r.
