Advertisements
Advertisements
प्रश्न
Factorize the following polynomial.
(x2 – 6x)2 – 8 (x2 – 6x + 8) – 64
Advertisements
उत्तर
(x2 – 6x)2 – 8 (x2 – 6x + 8) – 64
= (x2 – 6x)2 – 8(x2 – 6x) – 64 – 64
= (x2 – 6x)2 – 8(x2 – 6x) – 128
Let x2 – 6x = z.
∴ (x2 – 6x)2 – 8(x2 – 6x) – 128
= z2 – 8z – 128
= z2 – 16 z + 8z – 128
= z(z – 16) + 8 (z – 16)
= (z – 16) (z +8)
= (x2 – 6x – 16) (x2 – 6x + 8) ...(Replace z = x2 – 6x)
= (x2 – 8x + 2x – 16) (x2 – 4x – 2x + 8)
= [x (x – 8) + 2 (x – 8)] [x (x – 4) – 2 (x – 4)]
= (x – 8) (x + 2) (x – 4) (x – 2)
APPEARS IN
संबंधित प्रश्न
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = `2x^2+kx+sqrt2`
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = kx2 – 3x + k
Factorise:
12x2 – 7x + 1
Factorise:
2x2 + 7x + 3
Factorise:
6x2 + 5x – 6
Factorise:
3x2 – x – 4
Factorise:
x3 + 13x2 + 32x + 20
Find the factor of the polynomial given below.
12x2 + 61x + 77
Find the factor of the polynomial given below.
`sqrt 3 x^2 + 4x + sqrt 3`
Factorize the following polynomial.
(x2 – x)2 – 8 (x2 – x) + 12
Factorize the following polynomial.
(x – 5)2 – (5x – 25) – 24
Factorize the following polynomial.
(x2 – 2x + 3) (x2 – 2x + 5) – 35
Factorize the following polynomial.
(y + 2) (y – 3) (y + 8) (y + 3) + 56
If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is ______.
Determine which of the following polynomials has x – 2 a factor:
3x2 + 6x – 24
Factorise:
84 – 2r – 2r2
Factorise the following:
`8p^3 + 12/5 p^2 + 6/25 p + 1/125`
Factorise:
`a^3 - 2sqrt(2)b^3`
