Question

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

Answer 1

It is -3c^2+6.

Answer 2

Answer:
-3c^2+6
Explanation:
The equation will be 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 combing the c^2 terms.

The contents of parentheses simplify as follows: (4c^2 - 7c^2 +6)=(c^2(4 -7)+6)=(-3c^2 +6)