Question

Hi i need help so how should I write the the 4x^3-3x^2+100x-75 as a product of linear factors?

Answer 1

(4x - 3)(x^2 + 25)

Explanation:

Step as below:

• 4x^3-3x^2+100x-75 =
• x^2*4x - x^2*3 + 25*4x - 25*3 =
• x^2(4x -3) + 25*(4x - 3) =
• (4x - 3)(x^2 + 25)

One of the factors is linear, the second factor cannot be factored anymore