Advertisements
Advertisements
प्रश्न
Factorize the following polynomial.
(y2 + 5y) (y2 + 5y – 2) – 24
Advertisements
उत्तर
(y2 + 5y) (y2 + 5y – 2) – 24
Let y2 + 5y = z
∴ (y2 + 5y) (y2 + 5y – 2) – 24
= z (z – 2) – 24
= z2 – 2z – 24
= z2 – 6z + 4z – 24
= z (z – 6) + 4 (z – 6)
= (z – 6) (z + 4)
= (y2 + 5y – 6) (y2 + 5y + 4) ...(Replace z = y2 + 5y)
= (y2 + 6y – y – 6) (y2 + 4y + y + 4)
= [y (y + 6) – 1 (y + 6)] [y (y + 4) + 1 (y + 4)]
= (y + 6) (y – 1) (y + 4) (y + 1)
APPEARS IN
संबंधित प्रश्न
Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case:
p(x) = 2x3 + x2 – 2x – 1, g(x) = x + 1
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = `kx^2 - sqrt2x +1`
Factorise:
12x2 – 7x + 1
Factorise:
2x2 + 7x + 3
Factorise:
x3 – 2x2 – x + 2
Factorise:
x3 + 13x2 + 32x + 20
Find the Factors of the Polynomial Given Below.
2x2 + x – 1
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.
(x2 – 2x + 3) (x2 – 2x + 5) – 35
Factorize the following polynomial.
(x – 3) (x – 4)2 (x – 5) – 6
One of the factors of (25x2 – 1) + (1 + 5x)2 is ______.
The factorisation of 4x2 + 8x + 3 is ______.
Show that 2x – 3 is a factor of x + 2x3 – 9x2 + 12.
Show that p – 1 is a factor of p10 – 1 and also of p11 – 1.
If x + 1 is a factor of ax3 + x2 – 2x + 4a – 9, find the value of a.
Factorise:
x2 + 9x + 18
Factorise:
2x2 – 7x – 15
Without finding the cubes, factorise:
(x – 2y)3 + (2y – 3z)3 + (3z – x)3
If both x – 2 and `x - 1/2` are factors of px2 + 5x + r, show that p = r.
