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
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:
x3 – 2x2 – x + 2
Factorise:
x3 + 13x2 + 32x + 20
Factorise:
2y3 + y2 – 2y – 1
Determine the following polynomial has (x + 1) a factor:
x4 + 3x3 + 3x2 + x + 1
Find the factor of the polynomial given below.
2m2 + 5m – 3
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.
(x – 3) (x – 4)2 (x – 5) – 6
x + 1 is a factor of the polynomial ______.
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
Show that p – 1 is a factor of p10 – 1 and also of p11 – 1.
Find the value of m so that 2x – 1 be a factor of 8x4 + 4x3 – 16x2 + 10x + m.
Factorise the following:
1 – 64a3 – 12a + 48a2
Factorise:
1 + 64x3
Factorise:
`a^3 - 2sqrt(2)b^3`
If both x – 2 and `x - 1/2` are factors of px2 + 5x + r, show that p = r.
