Advertisements
Advertisements
प्रश्न
Factorize the following polynomial.
(x – 3) (x – 4)2 (x – 5) – 6
Advertisements
उत्तर
(x – 3) (x – 4)2 (x – 5) – 6
= (x – 3)(x – 5) (x – 4)2 – 6
= (x2 – 8x + 15) (x2 – 8x + 16) – 6
Let x2 – 8x = z
∴ (x2 − 8x + 15) (x2 − 8x + 16) − 6
= (z + 15) (z + 16) − 6
= z2 + 31z + 240 − 6
= z2 + 31z + 234
= z2 + 18z + 13z + 234
= z(z + 18) 13(z + 18)
= (z + 18) (z + 13)
= (x2 − 8x + 18) (x2 − 8x + 13) ...(Replace z = x2 − 8x)
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
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) = `kx^2 - sqrt2x +1`
Factorise:
12x2 – 7x + 1
Factorise:
3x2 – x – 4
Factorise:
x3 – 3x2 – 9x – 5
Determine the following polynomial has (x + 1) a factor:
x4 + x3 + x2 + x + 1
Find the Factors of the Polynomial Given Below.
2x2 + x – 1
Find the factor of the polynomial given below.
2m2 + 5m – 3
Factorize the following polynomial.
(x2 – 6x)2 – 8 (x2 – 6x + 8) – 64
Factorize the following polynomial.
(y2 + 5y) (y2 + 5y – 2) – 24
One of the factors of (25x2 – 1) + (1 + 5x)2 is ______.
The factorisation of 4x2 + 8x + 3 is ______.
Show that x + 3 is a factor of 69 + 11x – x2 + x3.
Find the value of m so that 2x – 1 be a factor of 8x4 + 4x3 – 16x2 + 10x + m.
Factorise:
84 – 2r – 2r2
Factorise the following:
9x2 – 12x + 3
Factorise:
`a^3 - 2sqrt(2)b^3`
