Consider the function f(x)=x3+15x2+74x+120. If f(x)=0 for x=−6, for what other values of x is the function equal to 0? List the values separated by commas.
1 answer:
Answer:
other x values are -5,-4
Step-by-step explanation:
f(x)=0 for x=−6
Apply synthetic division to get the quotient . using that we find other two values of x
-6 1 15 74 120
0 -6 - 54 -120
-------------------------------------------------
1 9 20 0
the quotient is
now factor the left hand side, product is 20 and sum is 9
So other x values are -5,-4
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