Question

Subtract the following polynomials: (-x^2 + x - 4) - (3x^2 - 8x - 2) (8x^2 - 3x) - (5x - 5 - 8x^2) (-x^2 - 5x - 3) - (-7x^2 - 8x - 8) (-2x^3 + x) - (7x - 3 - 7x^3) (3x^3 + 3x^2 + 9) - (5x^3 - 7x^2 + 6x - 9) (5x^3 + 5x^2 + 5) - (6x^3 - 6x^2 + 8x - 5)

Answer 1

The subtraction of the polynomials is done by aligning similar terms, which leads to the final result of -4x^2 + 9x - 2.

Step-by-step explanation:

To subtract polynomials, you need to align like terms and then subtract them accordingly. Let's see how we can do it with the given polynomials:

1. Negate each term in the polynomial being subtracted
2. Add the results together

Let's apply the process:

Initial: (-x^2 + x - 4) - (3x^2 - 8x - 2)

Negate: (-x^2 + x - 4) + (-3x^2 + 8x + 2)

Add: -4x^2 + 9x - 2

The answer of the subtraction of the polynomials (-x^2 + x - 4) - (3x^2 - 8x - 2) is -4x^2 + 9x - 2.

Learn more about Polynomial Subtraction