What is the expression in factored form? 9x² - 12x + 4

Solution:

The given expression is 9x² - 12x + 4

By splitting the middle term, let us factor this polynomial.

To identify the factors we have to consider factors of 36 as (9 × 4)

9x² - 6x - 6x + 4

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

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

Another example of quadratic polynomial can taken to demonstrate similar factorization:

x² + 9x + 20

= x² + 5x + 4x + 20

= x(x + 5) + 4(x + 5)

= (x + 5)(x + 4)

What is the expression in factored form? 9x² - 12x + 4

Summary:

The expression 9x² - 12x + 4 in factored form is (3x - 2)(3x - 2)