Advertisements
Advertisements
प्रश्न
Factorize the following polynomial.
(y + 2) (y – 3) (y + 8) (y + 3) + 56
Advertisements
उत्तर
(y + 2) (y – 3) (y + 8) (y + 3) + 56
= (y + 2) (y + 3) (y + 8) (y – 3) + 56
= (y2 + 3y + 2y + 6) (y2 + 8y - 3y - 24) + 56
= (y2 + 5y + 6) (y2 + 5y – 24) + 56
Let y2 + 5y = z
∴ (y2 + 5y + 6) (y2 + 5y - 24) + 56
= (z + 6 ) (z - 24) + 56
= z2 - 24z + 6z - 144 + 56
= z2 - 18z - 144 + 56
= z2 - 18z - 88
= z2 - 22z + 4z - 88
= z (z - 22) + 4 (z - 22)
= (z - 22) (z + 4)
= (y2 + 5y - 22) (y2 + 5y + 4) ...(Replace z = y2 + 5y)
= (y2 + 5y - 22) (y2 + 4y + y + 4)
= (y2 + 5y - 22) [y (y + 4) + 1 ( y + 4)]
= (y2 + 5y - 22) (y + 4) (y + 1)
APPEARS IN
संबंधित प्रश्न
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:
3x2 – x – 4
Factorise:
x3 – 3x2 – 9x – 5
Factorise:
x3 + 13x2 + 32x + 20
Determine the following polynomial has (x + 1) a factor:
`x^3-x^2-(2+sqrt2)x+sqrt2`
Find the Factors of the Polynomial Given Below.
2x2 + x – 1
Find the factor of the polynomial given below.
3y2 – 2y – 1
Factorize the following polynomial.
(x – 5)2 – (5x – 25) – 24
Factorize the following polynomial.
(y2 + 5y) (y2 + 5y – 2) – 24
Factorize the following polynomial.
(x – 3) (x – 4)2 (x – 5) – 6
x + 1 is a factor of the polynomial ______.
The factorisation of 4x2 + 8x + 3 is ______.
Factorise:
x2 + 9x + 18
Factorise:
6x2 + 7x – 3
Factorise the following:
9x2 – 12x + 4
Factorise the following:
1 – 64a3 – 12a + 48a2
Find the following product:
(2x – y + 3z)(4x2 + y2 + 9z2 + 2xy + 3yz – 6xz)
Factorise:
`2sqrt(2)a^3 + 8b^3 - 27c^3 + 18sqrt(2)abc`
If both x – 2 and `x - 1/2` are factors of px2 + 5x + r, show that p = r.
