Question

Factorize: 18x2 – 9x – 2 by splitting the middle term or any other way of factorization

Answer 1

EXPLANATION.

⇒ 18x² - 9x - 2 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ 18x² - 12x + 3x - 2 = 0.

⇒ 6x(3x - 2) + 1(3x - 2) = 0.

⇒ (6x + 1)(3x - 2) = 0.

⇒ x = - 1/6  and  x = 2/3.

                                                                                                                         

MORE INFORMATION.

Nature of the roots of the quadratic expression.

(1) = Real and unequal, if b² - 4ac > 0.

(2) = Rational and different, if b² - 4ac is a perfect square.

(3) = Real and equal, if b² - 4ac = 0.

(4) = If D < 0 roots are imaginary and unequal Or complex conjugate.

Answer 2

EXPLANATION:-

Given question to factorise :-

18x² - 9x - 2

Let's factorrize this :-

So we need a number whose multiplication is 38 and sum is 9 the number is -12 and 3

18x² - 12x + 3x - 2  

6x(3x - 2) + 1(3x - 2)

(6x + 1)(3x - 2)  

(6x + 1)(3x - 2)   is required answer.