Question

If (x+2) is the factor of 2x² + 5x²-x-k
then value of k is.


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Answer 1

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If (x+2) is the factor of 2x² + 5x²-x-k

then value of k is.

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We will use remainder theorem,

x+2=0

x= -2

Putting the value of x= -2 in 2x² + 5x²-x-k,

2(-2)²+5(-2)²-(-2)-k=0

8+20+2-k=0

30-k=0

k=30

Answer 2

Answer:

if x+2 is the factor of this polynomial

then, x+2 = 0

x = -2

p(-2)= 2(-2)^2 + 5(-2)^2 -(-2) - k

8 + 20 + 2 - k = 0

30 - k = 0

-k = -30

k = 30

therefore, value of k is 30.