Question

Factorise the trinomial : 2x² - 9x + 9.

Answer 1

2x²-9x+9

2x²-6x-3x+9

2x(x-3)-3(x-3)

(2x-3)(x-3)

Hope this helps you out.

Answer 2

Answer:

(x - 3)(2x - 3)  

Step-by-step explanation:

As per the question,

Given polynomial is 2x² - 9x + 9

For the factorization of quadratic polynomial, first split the middle term such that the sum is equal to that term and product is equal to the product of first term and the last term.

Therefore,

2x² - 9x + 9

= 2x² - 6x - 3x + 9

= (2x² - 6x) - (3x - 9)

= 2x(x - 3) - 3(x - 3)

=  (x - 3)(2x - 3)

Hence, the factor of given polynomial = (x - 3)(2x - 3)