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Qno.7
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Answer 1

Answer:

Let f (x) = (x+1)^3+(2x+K)^3

According to given information (x+2) is a factor of given polynomial. Hence, according to remainder theorem.

f (-2) = 0

Substituting x = -2 in the polynomial,

(x+1)^3+(2x+K)^3, we have,

(-2+1)^3+(2 (-2)+K)^3 = 0

Therefore (-1)^3+((-4)+K)^3 = 0

= -1+(K-4)^3 = 0

= (K-4)^3 = 1

= K-4 = 1

= K = 5.