Question

Factorize :

i. 2x2

– 17x – 30

ii. (x + 5)2 – 4(x + 5)​

Answer 1

Answer:

Thinking Process

(i) Firstly, find the prime factors of constant term in given polynomial.

(ii) Substitute these factors in place of x in given polynomial and find the minimum factor which satisfies given polynomial and write it in the form of a linear polynomial.

(iii) Now, adjust the given polynomial in such a way that it becomes the product of two factors, one of them is a linear polynomial and other is a quadratic polynomial.

(iv) Further, determine the factor of quadratic polynomial by splitting the middle