Question

if the polynomial f(x) =3x4-9x3+x^2+15x+k is completely divisible by 3x2-5 find the value of k

Answer 1

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Answer 2

Answer:

Value of k is equals to -10.

Step-by-step explanation:

Given the polynomial $f(x)=3x^4-9x^3+x^2+15x+k$

We have to find the value of k if the given polynomial is completely divisible by $3x^2-5$

To find the value of k we have to divide the given polynomial with $3x^2-5$ by long division method which is shown in attachment.

Now, as the given polynomial is completely divisible by $3x^2-5$

⇒ the quotient which obtained after division equals to 0.

⇒ 10+k=0

⇒ k=-10

Hence, value of k is equals to -10.