Fiona Petersen

2022-01-30

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

Palandriy0

Expert

You should first approach this problem by multiplying the entire function out through FOIL, and get $p\left(x\right)=4{x}^{3}+10{x}^{2}-2x-12$.
Then identify the leading term, leading coefficient, and degree of this polynomial by definition.
Leading term: $4{x}^{3}$
Degree of polynomial: 3

pacetfv

Expert

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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