Advertisements
Advertisements
Question
Factorise the following:
(p – q)2 – 6(p – q) – 16
Solution
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
RELATED QUESTIONS
Write the degrees of the following polynomials:
`5y-sqrt2`
Verify whether the indicated numbers is zeros of the polynomials corresponding to them in the following case:
\[p(x) = x^3 - 6 x^2 + 11x - 6, x = 1, 2, 3\]
Find the remainder when x3 + 3x2 + 3x + 1 is divided by \[x + \pi\] .
f(x) = 3x4 + 17x3 + 9x2 − 7x − 10; g(x) = x + 5
Factorize of the following polynomials:
4x3 + 20x2 + 33x + 18 given that 2x + 3 is a factor.
Factorise the following:
a2 + 10a – 600
Factorise the following:
2a2 + 9a + 10
Factorise the following:
9 – 18x + 8x2
Factorise the following:
`sqrt(5)"a"^2 + 2"a" - 3sqrt(5)`
Factorise:
x3 – 6x2 + 11x – 6
