If x-3 is a factor of the polynomial x4 - 4x? - 7x2 + kx + 24. What is the value of k?
A. -22
B. 25
C. 22
D. 25
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If x-3 is a factor of the polynomial x4 - 4x? - 7x2 + kx + 24. What is the value of k?
A. -22
B. 25
C. 22
D. 25
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ANSWER
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If x-3 is a factor of the polynomial x4 - 4x? - 7x2 + kx + 24. What is the value of k?
A. -22
B. 25
C. 22
D. 25
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Why? C.
SOLUTION
K= 22
x⁴-4x²-7x²+22+k+24 Extract x-3
= (x-3)(x³+2x+3x²-4x²-8-12x) Extract (x-4)
= (x-3)(x-4)(x²+2+3x) Extract (x+1)
= (x-3)(x-4)(x+1)(x+2)
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