3x⁴+17x³+9x²-7x-10 by x+5 by long division method.
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2
Answer:
According to the problem:-
Given that:
f(x)=3x 4 +17x 3 +9x 2 −7x−10andg(x)=x+5
Using the factor theorem, g(x) is a factor of polynomial f(x)
Therefore,
x+5=0
x=−5
Hence,
f(−5)=3(−5) 4 +17(−5) 3 +9(−5) 2 −7(5)−10
Implies that
=3×625+17×(−125)+225+35−10
Implies that
=1875−2125+250
=0
Hence the g(x) is the factor of polynomial f(x)
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4
Answer:
This should be correct answer
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