Question

Find the value of m, if x + 1 is a factor of the polynomial 2x2 + 4x + m.Please quick

Answer 1

Answer:

m=0

Step-by-step explanation:

x+1

x=-1

2x2+4*-1+m

4-4+m=0

m=0

Answer 2

Given polynomial p(x) = 2x²+4x +m

Factor of p(x)= X+1

$\implies \sf{x+1 = 0 }\\ \\ \implies \sf{x= -1 }$

Now substitute the value of x in p(X)

$\sf{ \implies \: p(x) = 2x²+4x +m}$

$\sf{ \implies \:p(-1) = 2×(-1)² +4×(-1) +m=0}$

$\sf{ \implies \:p(-1) = 2 -4 +m = 0}$

$\sf{ \implies \:p(-1) = -2+m = 0}$

$\sf{ \implies \red { m = 2}}$

⭐Therefore the value of m is 2

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