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If (x-5) is a factor of x3 - 4x2 - 11x + 30, find the remaining factors.
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3 steps3. If is a factor of , find the remaining factors.
Since is a factor, we can use synthetic division with to divide the polynomial .
The coefficients of the quotient are , and the remainder is 0.
This means the quotient is .Factor the quadratic expression obtained from the division.
We need to factor . We look for two numbers that multiply to and add to 1. These numbers are 3 and .
So, the quadratic factors as:Identify the remaining factors.
The remaining factors are and .
Comparing this with the given options:
A. and
B. and
C. and
D. andThe correct option is C.
The final answer is
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