the volume of a cube is p power 3+ 3 p power 2 + 3 p + K if its length is (p+1) then find K
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Step-by-step explanation:
Let us say, f(x)=x
3
+3x
2
+3x+p.
By using factor theorem, if x−3 is a factor of f(x), then f(3)=0.
So,
⇒3
3
+3×3
2
+3×3+p=0
⇒27+27+9+p=0
⇒p=−63
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