Question

Find the degree of the polynomial: 25x2 – 3x4

Answer 1

Find the GCF (Greatest Common Factor

GCF = x^2

Factor out the GCF (write the GCF first. Then in parenthesis, proceed to divide each term by the GCF.)

x^2(25x^2/x^2 + -3x^4/x^2)

Simplify each term in parenthesis

x^2(25 - 3x^2)

Polynomial Degree: 4

Leading Term: -3x^4

Leading Coefficient: -3

Answer 2

4

Explanation:

25x^2 – 3x^4

The first term 25x^2 is degree 2

The second term 3x^4 is degree 4

The polynomial is takes the highest degree of the terms, so it is degree 4