Advertisements
Advertisements
Question
Factorise the following:
6x2 + 16xy + 8y2
Advertisements
Solution
Product = 6 × 8 = 48, sum = 16
Split the middle term as 4xy and 12xy
6x2 + 16xy + 8y2 = 6x2 + 12xy + 4xy + 8y2
= 6x(x + 2y) + 4y(x + 2y)
= (x + 2y)(6x + 4y)
= 2(x + 2y)(3x + 2y)
APPEARS IN
RELATED QUESTIONS
Identify constant, linear, quadratic and cubic polynomials from the following polynomials
`p(x)=2x^2-x+4`
If `f(x)=2x^2-13x^2+17x+12` find `f(0)`
Find rational roots of the polynomial f(x) = 2x3 + x2 − 7x − 6.
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x.
f(x) = x3 − 6x2 + 11x − 6, g(x) = x2 − 3x + 2
Find the values of a and b so that (x + 1) and (x − 1) are factors of x4 + ax3 − 3x2 + 2x + b.
What must be added to x3 − 3x2 − 12x + 19 so that the result is exactly divisibly by x2 + x - 6 ?
One factor of x4 + x2 − 20 is x2 + 5. The other factor is
(x + y)(x2 – xy + y2) is equal to
If (x + 5) and (x – 3) are the factors of ax2 + bx + c, then values of a, b and c are
