Question

Find the value of k if x+1/2 is one of the factors of the polynomial x^2 + 2x + k

Answer 1

Answer:

1.75

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Answer 2

Answer:

Given :

Polynomial is x² + 2x - k

One factor of equation is x + 1/2 = 0

To Find :

Value of k

Solution :

we're given that the quadratic polynomial is x² + 2x - k. And one of its factor is x + 1/2. So,

⇒x + 1/2 = 0

⇒x = -1/2

\therefore∴ Value of x is -1/2

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Put value of x in the polynomial

⇒x² + 2x + k = 0

⇒(-1/2)² + 2(-1/2) + k = 0

⇒1/4 + (2/-2) + k = 0

⇒1/4 - 1 + k = 0

⇒(1 - 4)/4 + k = 0

⇒-3/4 + k = 0

⇒k = 3/4

\therefore∴ Value of k is 3/4

Step-by-step explanation:

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