Classify Polynomials
Classify the polynomial by degree and number of terms.
x - 4
Linear binomial
Rewrite the polynomial in standard form.
3x2 + 5x3
5x3 + 3x2
Name the leading term and leading coefficient of the polynomial below.
-2x3 + 3x
Leading term: -2x3
Leading coefficient: -2
Combine like terms:
9𝑥 − 7𝑥
2x
Classify the polynomial by degree and number of terms.
-7
Constant monomial
Rewrite the polynomial in standard form.
8x - 2 - 6x3
-6x3 + 8x - 2
Name the leading term and leading coefficient of the polynomial below.
5x3 + 5x2 + 17x - 11
Leading term: 5x3
Leading coefficient: 5
Combine like terms:
−3 + 16𝑥 − 16𝑥
-3
Classify the polynomial by degree and number of terms.
5 - 6x3 + 4x
Cubic trinomial
Rewrite the polynomial in standard form.
5x2 − 9x5 + 8x3 − 11
-9x5 + 8x3 + 5x2 - 11
Name the leading term and leading coefficient of the polynomial below.
−2x2 + 4𝑥 − 6x3
Leading term: -6x3
Leading coefficient: -6
Combine like terms:
3 + 4x3 − 3
4x3
Classify the polynomial by degree and number of terms.
-1 + 7x6 + 4x3 + 9x10
10th degree polynomial
Rewrite the polynomial in standard form.
5x3 + 14x + 7x2 + 3x - 11
5x3 + 7x2 + 17x - 11
Name the leading term and leading coefficient of the polynomial below.
4x2 − 2x5 + 14 − 7x4
Leading term: -2x5
Leading coefficient: -2
Combine like terms and write the polynomial in standard form:
7x3 − 6x4 − 3x2 + 22x3
− 6x4 + 29x3 − 3x2
Classify the polynomial by degree and number of terms.
4x2 + 3x4 - 5x3 + x4
4x4 - 5x3 + 4x2
4th degree trinomial
Simplify the polynomial by combining like terms. Then list all the coefficients.
2ab2+3a2b-6b-2ba2+3a-b-8
2ab2+a2b-7b+3a-8
Coefficients: 2, 1, -7, 3, -8
Name the leading term and leading coefficient of the polynomial below.
9x2 + x4 + 12x3 − 5x4
-4x4 + 12x3 + 9x2
Leading term: -4x4
Leading coefficient: -4
Combine like terms and write the polynomial in standard form:
2𝑥(3x2 − 4x2 + 3)
-2x3 + 6x