Find the real zeros of the polynomial function by factoring.
A)1, -2, -24
B)1, -6, 4
C)0, -12, -2
D)0, 6, -4
E)0, 12, 2

Question

Find the real zeros of the polynomial function  by factoring.
A)1, -2, -24 
B)1, -6, 4 
C)0, -12, -2 
D)0, 6, -4 
E)0, 12, 2

Quizplus · Accepted Answer

To factor the polynomial, we can first factor out the greatest common factor, which is x:
11ebfdc1_ec25_880f_abe3_f9a6c947f978_TBX8727_11 = x(x^2 - 6x + 4)

Now we can use the quadratic formula to find the roots of the quadratic factor:
x = (6 ± sqrt(6^2 - 4(1)(4)))/2
x = (6 ± sqrt(32))/2
x = 3 ± 2sqrt(2)

So the real zeros of the polynomial are 0, 6 - 2sqrt(2), and 6 + 2sqrt(2). 
The only answer choice that includes 0 and two other real numbers is D.

Find the Real Zeros of the Polynomial Function by Factoring