Chapter 8, Problem 24PT

To determine

To Find: The factor’s of the given trinomial.

Answer to Problem 24PT

The factor of the given trinomial is $9x^2-12x+4={(3x-2)}^2=(3x-2)(3x-2)$ .

Explanation of Solution

Given information:

The trinomial expression

  $9x^2-12x+4$ .

Observe that first term is the perfect square of $3x$ st term is the perfect square of 2 in the given trinomial.

The middle term can be written as , $-2(3x)(2)$ .

Thus, compare the given expression with $a^2+2ab+b^2={(a+b)}^2$

  ${(3x-2)}^2$

Therefore, $9x^2-12x+4={(3x-2)}^2=(3x-2)(3x-2)$ .