show that (x+2) is a factor of x^3-4x^2-2x
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Answer:
Let p(x)=x
3
−4x
2
−2x+20
By factor theorem, (x+2) is a factor of p(x) if p(−2)=0.
∴ It is sufficient to show that (x+2) is a factor of p(x)
Now, p(x)=x
3
−4x
2
−2x+20
∴p(−2)=(−2)
3
−4(−2)
2
−2(−2)+20=−8−16+4+20=0
∴(x+2) is a factor of p(x)=x
3
−4x
2
−2x+20
Step-by-step explanation:
pls mark as brainleist
Answer:
proved
Step-by-step explanation:
Let p(x)=x 3−4x 2 −2x+20
By factor theorem, (x+2) is a factor of p(x) if p(−2)=0.
∴ It is sufficient to show that (x+2) is a factor of p(x)
Now, p(x)=x
3 −4x 2 −2x+20
∴p(−2)=(−2) 3 −4(−2) 2
−2(−2)+20=−8−16+4+20=0
∴(x+2) is a factor of p(x)=x 3 −4x 2−2x+20