f(x) = 3x4 + 17x3 + 9x2 − 7x − 10, g(x) = x + 5
Answers
Answered by
9
Answer:
According to the problem:-
Given that:
f(x)=3x
4
+17x
3
+9x
2
−7x−10
and
g(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)
Step-by-step explanation:
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Step-by-step explanation:
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