Advertisements
Advertisements
प्रश्न
Factorise the following:
(p – q)2 – 6(p – q) – 16
Advertisements
उत्तर
Let (p – q) = x
(p – q)2 – 6(p – q) – 16 = x2 – 6x – 16
Product = – 16, sum = – 6
Split the middle term as – 8x and 2x
x2 – 6x – 16 = x2 – 8x + 2x – 16
= x(x – 8) + 2(x – 8)
= (x – 8)(x + 2)
...(But x = p – q)
= (p – q – 8)(p – q + 2)
APPEARS IN
संबंधित प्रश्न
Write the coefficient of x2 in the following:
`9-12x +X^3`
Write the coefficient of x2 in the following:
`pi/6x^2- 3x+4`
Write the coefficient of x2 in the following:
`sqrt3x-7`
Write the degrees of the following polynomials:
`12-x+2x^3`
Identify polynomials in the following:
`f(x)=4x^3-x^2-3x+7`
Identify polynomials in the following:
`g(x)=2x^3-3x^2+sqrtx-1`
f(x) = 4x4 − 3x3 − 2x2 + x − 7, g(x) = x − 1
x3 − 6x2 + 3x + 10
x3 + 13x2 + 32x + 20
If both x − 2 and \[x - \frac{1}{2}\] are factors of px2 + 5x + r, then
