Question

If x+1 is a factor of 2x^3 + ax^2 + 2bx +1 , then find the value of a and b given that 2a - 3b = 4.
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Answer 1

hey Friend,
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Question: If x+1 is a factor of 2x^3 + ax^2 + 2bx +1 , then find the value of a and b given that 2a - 3b = 4.

Solution : 

Snice x+1 is a factor

x=-1 is a zero of polynomial

Substituting x= -1 is the polynomial.

we get 

-2 +a -2b +1 =0

hence a -2b = 1

Substituting this relation in the equation

2a - 3b = 4

4b + 2 -3b = 4

b = 2

Substituting b=2 in equation.

a - 2b =1

a=5

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