Question

 If (x+2) is a factor of 2x3 +5x2 –x-k. the value of k is​

Answer 1

Answer:

k = 6

Step-by-step explanation:

Let the function be represented by f(x).

As x+2, exactly divides f(x),

−2 is a zero of f(x), hence f(−2)=0

f(x)=2x³+5x² −x−k

f(−2)=2(−2)³+5(−2)²+2−k=0

⇒0=−16+20+2−k

⇒k=6

Answer 2

Answer:

(x+2) is a factor of polynomial (2x³+5x²-x-k) i.e (-2) will satisfy this polynomial.

2x³+5x²-x-k=0

2×(-2)³+5×(-2)²-(-2)-k=0

2×(-8)+5×4+2-k=0

-16+20+2=k

k=6

Hope it will help you.

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