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
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = kx2 – 3x + k
Factorise:
6x2 + 5x – 6
Factorise:
3x2 – x – 4
Factorise:
x3 – 2x2 – x + 2
Factorise:
x3 – 3x2 – 9x – 5
Factorise:
2y3 + y2 – 2y – 1
Determine the following polynomial has (x + 1) a factor:
x4 + x3 + x2 + x + 1
Determine the following polynomial has (x + 1) a factor:
`x^3-x^2-(2+sqrt2)x+sqrt2`
Find the factor of the polynomial given below.
`sqrt 3 x^2 + 4x + sqrt 3`
One of the factors of (25x2 – 1) + (1 + 5x)2 is ______.
Show that 2x – 3 is a factor of x + 2x3 – 9x2 + 12.
Determine which of the following polynomials has x – 2 a factor:
3x2 + 6x – 24
Find the value of m so that 2x – 1 be a factor of 8x4 + 4x3 – 16x2 + 10x + m.
Factorise:
6x2 + 7x – 3
Factorise the following:
9x2 – 12x + 4
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`
