Question

5x+4x2(2x+7)-6x2-9x+(x+3)(x-8) Write this expression as a polynomial in standard form

Answer 1

First you must simply distribute where needed, we will start with distributing the 4x^2 to (2x+7) and using FOIL (First Outer Inner Last) for (x+3)(x-8)

5x+8x^3+28x^2-6x^2-9x+x^2-8x+3x-24

Next group like terms ( the x's with the x's, the x^2 with the x^2, and so on)

8x^3+23x^2-9x-24 is your answer

Answer 2

5x + 4x^2(2x+7) - 6x^2 - 9x + (x+3)(x-8)
5x + 8x^3 + 21x^2 - 6x^2 - 9x + x^2 - 5x - 24
8x^3 + 16x^2- 9x - 24