Question

Add or subtract two polynomial expressions. Add the polynomials 4x^3 - 2x + 5 and x^3 - 3x^2 + 7x. Option 1: 5x^3 - 3x^2 + 5x + 5 Option 2: 3x^3 - x^2 + 2x Option 3: 3x^3 - 3x^2 - 5x + 5 Option 4: 5x^3 - 5x^2 + 12x

Answer 1

To add the polynomials 4x^3 - 2x + 5 and x^3 - 3x^2 + 7x, combine like terms: 5x^3 + 5x + 5.

Step-by-step explanation:

To add the polynomials 4x^3 - 2x + 5 and x^3 - 3x^2 + 7x, you need to combine like terms. Like terms are terms that have the same variable raised to the same power. In this case, the like terms are:

4x^3 and x^3 (add together to get 5x^3)

-2x and 7x (add together to get 5x)

5 (remain the same)

Therefore, the sum of the polynomials is 5x^3 + 5x + 5.

Answer 2

To add the polynomials 4x³ - 2x + 5 and x³ - 3x^2 + 7x, you simply combine like terms.

Step-by-step explanation:

To add the polynomials 4x³ - 2x + 5 and x³ - 3x² 7x, we simply combine like terms. Like terms are terms that have the same variable raised to the same power. So, adding the corresponding coefficients of the like terms, we get:

4x³+ x³ - 2x - 3x²+ 7x + 5

Combining like terms again, we have:

5x³ - 3x² + 5x + 5