Advertisements
Advertisements
प्रश्न
Factorize the following polynomial.
(x – 5)2 – (5x – 25) – 24
Advertisements
उत्तर
(x – 5)2 – (5x – 25) – 24
= (x – 5)2 – 5(x – 5) – 24
Let x – 5 = z
∴ (x – 5)2 – 5 (x – 5) – 24
= z2 – 5z – 24
= z2 – 8z + 3z – 24
= z (z – 8) + 3 (z – 8)
= (z – 8) (z + 3)
= (x – 5 – 8) (x – 5 + 3) (Replace z = x - 5)
= (x – 13) (x – 2)
APPEARS IN
संबंधित प्रश्न
Determine the following polynomial has (x + 1) a factor:
x3 + x2 + x + 1
Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case:
p(x) = x3 + 3x2 + 3x + 1, g(x) = x + 2
Factorise:
6x2 + 5x – 6
Factorise:
x3 – 3x2 – 9x – 5
Factorise:
x3 + 13x2 + 32x + 20
Find the factor of the polynomial given below.
3y2 – 2y – 1
Factorize the following polynomial.
(x2 – 6x)2 – 8 (x2 – 6x + 8) – 64
Factorize the following polynomial.
(y2 + 5y) (y2 + 5y – 2) – 24
x + 1 is a factor of the polynomial ______.
Which of the following is a factor of (x + y)3 – (x3 + y3)?
Find the value of m so that 2x – 1 be a factor of 8x4 + 4x3 – 16x2 + 10x + m.
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
Factorise the following:
9x2 – 12x + 3
Factorise:
1 + 64x3
Find the following product:
(2x – y + 3z)(4x2 + y2 + 9z2 + 2xy + 3yz – 6xz)
Factorise:
a3 – 8b3 – 64c3 – 24abc
