Question

given the polynomial; 9x⁷ + 3x⁶ - 5 + x² what is the constant?

Explanation:

Step1: Recall the definition of a constant term

A constant term in a polynomial is a term that does not contain a variable (i.e., the exponent of the variable is 0). In the polynomial \(9x^{7}+3x^{6}-5 + x^{2}\), we analyze each term:

• The term \(9x^{7}\) has a variable \(x\) with exponent 7, so it is not a constant.
• The term \(3x^{6}\) has a variable \(x\) with exponent 6, so it is not a constant.
• The term \(-5\) can be written as \(-5x^{0}\) (since \(x^{0}=1\) for \(x

eq0\)), so it has no variable part (or the variable has exponent 0), so it is a constant.

• The term \(x^{2}\) has a variable \(x\) with exponent 2, so it is not a constant.

Answer:

-5