Advertisements
Advertisements
प्रश्न
Factorise the following:
(a + b)2 + 9(a + b) + 18
Advertisements
उत्तर
Let (a + b) = x
x2 + 9x + 18
Product = 18, sum = 9
Split the middle term as 6x and 3x
x2 + 9x + 18 = x2 + 6x + 3x + 18
= x(x + 6) + 3(x + 6)
= (x + 6)(x + 3)
But x = a + b
(a + b)2 + 9(a + b) + 18 = (a + b + 6)(a + b + 3)
APPEARS IN
संबंधित प्रश्न
Write the coefficient of x2 in the following:
`9-12x +X^3`
Identify constant, linear, quadratic and cubic polynomials from the following polynomials
`p(x)=2x^2-x+4`
If the polynomials ax3 + 3x2 − 13 and 2x3 − 5x + a, when divided by (x − 2) leave the same remainder, find the value of a.
f(x) = 2x3 − 9x2 + x + 12, g(x) = 3 − 2x
Show that (x − 2), (x + 3) and (x − 4) are factors of x3 − 3x2 − 10x + 24.
If x − 2 is a factor of the following two polynomials, find the values of a in each case x3 − 2ax2 + ax − 1.
2y3 − 5y2 − 19y + 42
2x4 − 7x3 − 13x2 + 63x − 45
If x − a is a factor of x3 −3x2a + 2a2x + b, then the value of b is
Factorise:
3x3 – x2 – 3x + 1
