Question

Add the polynomials: (x^4 - 8x^3 + 6x) + (3x^3 - 7) + (1 + 5x^3 - x^4 + x)

a. 6x^2 - 4
b. 6x^3 - 8x^3 + 6x - 7
c. 9x^3 - 6
d. 6x - 6

Answer 1

To add the polynomials, combine like terms by adding the corresponding coefficients of the same degree terms.

Step-by-step explanation:

To add the polynomials (x^4 - 8x^3 + 6x) + (3x^3 - 7) + (1 + 5x^3 - x^4 + x), you need to combine like terms.

Start by combining the terms with the same degree. Add the x^4 terms: (-x^4) + (x^4) = 0x^4 = 0.

Next, combine the x^3 terms: (-8x^3) + (3x^3) + (5x^3) = 0x^3 = 0.

Then, combine the x terms: (6x) + (x) = 7x.

Finally, combine the constant terms: (-7) + (1) = -6.

The result is 7x - 6.