Question

Prove that 4x+1 is a factor of 4x^3+x^2-36x-9 hence factorize the polynomial

Answer 1

Answer:

4x³+x²-36x-9 = (4x+1) (x+3) (x-3)

Answer 2

Answer:(4x+1) (x^2-9)

Step-by-step explanation:

4x^3+x^2- 36x -9 divided by 4x+1 should give you zero then it is a factor.

By doing long division method we can get to know that the quotient is x^2 - 9 and the remainder is 0.

Now you can express it as (4x +1)( x^2-9)

Thus it is factorized.