Question

Find a polynomial, which if substituted for M will make the equation an identity: (4c^2–7c^2+6)–M=0

Answer 1

4c^4-7c^2+6

Explanation:

Answer 2

-3c^2 +6

Explanation:

The equation will be an identity (0=0) when M is equal to the contents of the parentheses. That polynomial can be used directly, or it can be simplified by combining the c^2 terms.

The contents of parentheses simplify as follows:

... (4c^2 -7c^2 +6) = (c^2(4 -7) +6) = (-3c^2 +6)