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:
`17 -2x + 7x^2`
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:
`h(x)=-3x+1/2`
If `f(x)=2x^2-13x^2+17x+12` find `f(0)`
f(x) = 3x3 + x2 − 20x +12, g(x) = 3x − 2
x3 − 23x2 + 142x − 120
If \[x = \frac{1}{2}\] is a zero of the polynomial f(x) = 8x3 + ax2 − 4x + 2, find the value of a.
Write the remainder when the polynomialf(x) = x3 + x2 − 3x + 2 is divided by x + 1.
If x + 1 is a factor of x3 + a, then write the value of a.
Factorise the following:
9 – 18x + 8x2
Factorise the following:
12x2 + 36x2y + 27y2x2
