What is the leading term, leading coefficient, and degree of this polynomial p(x)=2(2x+3)(x-1)(x+2)?

Fiona Petersen

Fiona Petersen

Answered

2022-01-30

What is the leading term, leading coefficient, and degree of this polynomial p(x)=2(2x+3)(x-1)(x+2)?

Answer & Explanation

Palandriy0

Palandriy0

Expert

2022-01-31Added 14 answers

You should first approach this problem by multiplying the entire function out through FOIL, and get p(x)=4x3+10x22x12.
Then identify the leading term, leading coefficient, and degree of this polynomial by definition.
Leading term: 4x3
Leading coefficient: 4
Degree of polynomial: 3
pacetfv

pacetfv

Expert

2022-02-01Added 9 answers

Find the degree, the leading coefficient, and the leading term of p(x)=2(2x+3)(x-1)(x+2).
p(x)=2(2x+3)(x-1)(x+2) = (x-1)(x+2)(4x+6)
Solution:
The degree of a polynomial is the highest of the degrees of the polynomials

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