Question

Factorize x cube + 2x square - 5x - 6
Class 9 maths chapter polynomials
Pls help fast
Need an easy method.

Answer 1

X^3+2x^2-5x-6

...........

Answer 2

Answer:

(x+3) (x-2) (x+1)

Step-by-step explanation:

We know,

(x+a)  (x+b)  (x+c) = x³ + (a + b + c) x² + (ab + bc + ca) x + abc

So, in the polynomial x³ + 2x² - 5x -6        [factors of 6 = +1,-1,+2,-2,+3,-3,+6,-6]

We need 3 factors of -6(constant) such that their multiplication is -6  and their addition is +2(co-efficient of x²)

They are  +3 , -2 , and +1

Now just simply add x before each number and close the brackets.

So,  (x+3)  (x-2)  (x+1)