Question

if X + 2 is a factor of the polynomial 5 x 3 + K + 2 x square - 3 x + 2 ans is3​

Answer 1

Answer:

k = 24

Step-by-step explanation:

If you're asking the value of k and how to get it then here's the solution :

Let 5x^3 + 2x^2 - 3x + k + 2 = p(x)

Now according to factor theorem if x-a is a factor of a polynomial p(x) then p(a)=0

So as x+2 is a factor of p(x) , p(-2) will be = 0

Then

5(-2)^3 + 2(-2)^2 - 3(-2) + k + 2 = 0

=> -40 + 8 + 6 + k + 2 = 0

=>-40 + 16 + k = 0

=> k = 24

Hence if x+2 is a factor or p(x) the value of k will be 24

Thankyou

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