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
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = x2 + x + k
Factorise:
12x2 – 7x + 1
Factorise:
6x2 + 5x – 6
Factorise:
3x2 – x – 4
Factorise:
x3 – 2x2 – x + 2
Determine the following polynomial has (x + 1) a factor:
x4 + x3 + x2 + x + 1
Determine the following polynomial has (x + 1) a factor:
x4 + 3x3 + 3x2 + x + 1
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
If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is ______.
The factorisation of 4x2 + 8x + 3 is ______.
Which of the following is a factor of (x + y)3 – (x3 + y3)?
Show that 2x – 3 is a factor of x + 2x3 – 9x2 + 12.
Factorise:
2x2 – 7x – 15
Factorise:
84 – 2r – 2r2
Factorise the following:
9x2 – 12x + 4
Factorise the following:
1 – 64a3 – 12a + 48a2
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.
