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Coordinate Geometry
Question
Wired Faculty App

Factorise each of the following:

(x2 + x)2 + 4(x2 + x) - 12

Answer

(x2 + x)2 + 4(x2 + x) - 12
(x2 + x)2 + 4(x2 + x) - 12 = y2 + 4y - 12
| where y = x2 + x
= y2 + 6y - 2y - 12
= y(y + 6) - 2(y + 6)
= (y + 6)(y - 2)
= (x2 + x + 6)(x2 + x - 2)
| ∵ = x2 + x
= (x2 + x + 6)(x2 + 2x - x - 2)
= (x2 + x + 6)[x(x + 2) - 1(x + 2)]
= (x2 + x + 6)(x + 2)(x - 1).

Sponsor Area

Some More Questions From Coordinate Geometry Chapter

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

4x2 - 3x + 7

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

x10+ y3 + t50

Write the coefficients of x2 in each of the following:

2 + x2 + x

Write the coefficients of x2 in each of the following:
2 - x2 + x3