Question

It has to be an expanded polynomial in standard form! (-m^2 + 6) + (-4m^2 + 7m + 2) =

Answer 1

To combine the polynomials (-m^2 + 6) and (-4m^2 + 7m + 2), add the like terms to get the resulting expanded polynomial in standard form: -5m^2 + 7m + 8.

Step-by-step explanation:

The question asks us to simplify and combine two polynomials: (-m^2 + 6) and (-4m^2 + 7m + 2). To find the expanded polynomial in standard form, we need to add the like terms from both expressions.

Let's add the like terms step by step:

• Combine the m^2 terms: (-m^2) + (-4m^2) = -5m^2
• Combine the m terms: There is no m term in the first polynomial, so we only have the 7m from the second.
• Combine the constant terms: 6 + 2 = 8

Putting it all together, we get the expanded polynomial in standard form: -5m^2 + 7m + 8.