Factor the polynomial completely: $6 x ^ { 2 } - 54$
A) 6x(x -9)
B) 6(x - 1)(x +9)
C) (6x +1)(x -9)
D) 6(x +3)(x -3)

Question

Factor the polynomial completely: $6 x ^ { 2 } - 54$
A) 6x(x -9) 
B) 6(x - 1)(x +9) 
C) (6x +1)(x -9) 
D) 6(x +3)(x -3)

Quizplus · Accepted Answer

The given polynomial has a common factor of 6, which can be factored out. Then, we are left with $x^2 - 9$, which can be factored using the difference of squares: $(x+3)(x-3)$. Therefore, the fully factored form is $6(x+3)(x-3)$. The answer choice that matches this form is D.

Factor the Polynomial Completely 6x2−546 x ^ { 2 } - 546x2−54

Factor the Polynomial Completely $6 x ^ { 2 } - 54$