Question

13.- La factorización correcta d

expresión 3x2- 24x + 21 es:
A) (3x-3)(x+7)
B) (3x+21)(x-1)
C) (3x+1)(x+21)
D) (3x-3)(x-7)
reción y​

Answer 1

Option (D)

Explanation:

The given expression is,

3x² - 24x + 21

We will factorize the given expression by the following steps,

3x² - 24x + 21

= 3(x² - 8x + 7)

= 3(x² - 7x - x + 7)

= 3[x(x - 7) - 1(x - 7)]

= 3(x - 1)(x - 7)

= (3x - 3)(x - 7)

Therefore, factored form of the given expression is (3x - 3)(x - 7).

Option (D) will be the correct option.