Question

Write 4x2(–2x2 + 5x3) in standard form. Then classify it by degree and number of terms.

Answer 1

$20x^5-8x^4$ polynomial of the 5th degree, with two terms.

Distribute 4x^2(–2x^2 + 5x^3) to get –8x^2 + 20x^5. Reorder in standard form 20x^5-8x^4.  5 is the highest exponent so it is the 5th degree, there are two terms because terms are separated by a plus or minus.