Advertisements
Advertisements
Question
Factorise the following:
(p – q)2 – 6(p – q) – 16
Advertisements
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 coefficient of x2 in the following:
`17 -2x + 7x^2`
Identify polynomials in the following:
`f(x)=4x^3-x^2-3x+7`
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:
`r(x)=3x^2+4x^2+5x-7`
If `x = 2` is a root of the polynomial `f(x) = 2x2 – 3x + 7a` find the value of a.
x4 − 7x3 + 9x2 + 7x − 10
2y3 − 5y2 − 19y + 42
If x + 2 is a factor of x2 + mx + 14, then m =
If x2 + x + 1 is a factor of the polynomial 3x3 + 8x2 + 8x + 3 + 5k, then the value of k is
Factorise the following:
t² + 72 – 17t
Factorise the following:
(a + b)2 + 9(a + b) + 18
