Advertisements
Advertisements
प्रश्न
Factorise the following:
6x2 + 16xy + 8y2
Advertisements
उत्तर
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
संबंधित प्रश्न
Identify constant, linear, quadratic and cubic polynomials from the following polynomials
`p(x)=2x^2-x+4`
Find rational roots of the polynomial f(x) = 2x3 + x2 − 7x − 6.
The polynomials ax3 + 3x2 − 3 and 2x3 − 5x + a when divided by (x − 4) leave the remainders R1 and R2 respectively. Find the value of the following case, if R1 = R2.
Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.
Find α and β, if x + 1 and x + 2 are factors of x3 + 3x2 − 2αx + β.
If both x + 1 and x − 1 are factors of ax3 + x2 − 2x + b, find the values of a and b.
Using factor theorem, factorize each of the following polynomials:
x3 + 6x2 + 11x + 6
3x3 − x2 − 3x + 1
x3 + 13x2 + 32x + 20
(a + b – c)2 is equal to __________
