Question

Add or Subtract the following polynomial: (3x²+7x-6)-(3x²+7x)

Answer 1

To subtract the polynomials (3x²+7x-6) and (3x²+7x), change the sign of each term in the second polynomial and add them to the first, resulting in -6.

Step-by-step explanation:

To add or subtract the polynomials (3x²+7x-6) and (-3x²-7x), you combine like terms. The subtraction of polynomials is similar to the subtraction of numbers. You change the sign of each term of the polynomial being subtracted and then add the resulting terms to the first polynomial.

Starting with our polynomials:

• (3x² + 7x - 6)
• -(3x² + 7x)

Change the signs of the second polynomial and add:

• (3x² + 7x - 6) + (-3x² - 7x)

Combine like terms:

• (3x² - 3x²) + (7x - 7x) - 6

Simplify:

• 0 + 0 - 6

So the result is:

• -6