Question

drag each tile to the correct location. the labels can be used more than once. match each polynomial expression with its degree. polynomial expression: x - 9, -4x² - 6x + 9, x² - 2x + 9, -3, 3x - 2, 6x + 2, 5; degree: (empty); tiles: 0, 1, 2

Explanation:

Step1: Recall the degree of a polynomial

The degree of a polynomial is the highest power of the variable in the polynomial. For a constant (no variable), the degree is 0. For a linear term (variable to the first power), the degree is 1. For a quadratic term (variable to the second power), the degree is 2.

Step2: Analyze \(x - 9\)

The highest power of \(x\) is 1, so degree is 1.

Step3: Analyze \(-4x^{2}-6x + 9\)

The highest power of \(x\) is 2, so degree is 2.

Step4: Analyze \(x^{2}-2x + 9\)

The highest power of \(x\) is 2, so degree is 2.

Step5: Analyze \(-3\)

It is a constant, so degree is 0.

Step6: Analyze \(3x - 2\)

The highest power of \(x\) is 1, so degree is 1.

Step7: Analyze \(6x + 2\)

The highest power of \(x\) is 1, so degree is 1.

Step8: Analyze \(5\)

It is a constant, so degree is 0.

Answer:

Polynomial Expression	Degree
\(-4x^{2}-6x + 9\)	2
\(x^{2}-2x + 9\)	2
\(-3\)	0
\(3x - 2\)	1
\(6x + 2\)	1
\(5\)	0