What is the leading term, leading coefficient, and degree of

Kristina Mcclain

Kristina Mcclain

Answered question

2022-01-28

What is the leading term, leading coefficient, and degree of this polynomial 4y+18y2+810y4?

Answer & Explanation

Eleanor Shaffer

Eleanor Shaffer

Beginner2022-01-29Added 16 answers

Explanation:
First, rewrite the polynomial in standard form (highest exponents first):
10y4+18y2+4y+8
The leading term is the first term, so 10y4
The leading coefficient is the number multiplied to y in the first term, so -10
The degree is the highest exponent, so 4. We say this is a fourth-degree or quartic polynomial.
Leading term: 10y4
Leading coefficient: -10
Degree is fourth-degree or quartic

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