Answer:
Quadratic Binomial
Step-by-step explanation:
4x(x+1) - (3x-8)(x+4)
Open parenthesis
(4x^2+4x) - (3x^2+12x-8x-32)
(4x^2+4x - 3x^2-12x+8x+32)
Collect like terms
4x^2-3x^2+4x+8x-12x+32
=x^2+32
Quadratic binomial
After simplification of the following expression , the resulting polynomial expression is classified as Option (C) Quadratic binomial.
A binomial expression is a variable expression having two terms in the polynomial expression. For example - 2x + 3 , 8x - 1
A quadratic binomial is a second degree binomial expression having also two terms but the power of the dependent variable of polynomial is 2 . For example - [tex]2x^{2} + 3 , 7x^{2} - 9[/tex]
Given expression is - [tex]4x(x + 1) - (3x - 8)(x + 4)[/tex]
Simplifying the following expression step by step -
= [tex]4x^{2} + 4x - 3x^{2} - 12x + 8x + 32[/tex]
= [tex](4x^{2} - 3x^{2}) + (8x + 4x - 12x) + 32[/tex]
= [tex]x^{2} + 32[/tex]
The simplification results in a Quadratic binomial , [tex]x^{2} + 32\\[/tex] .
Thus, after simplification of the following expression, the resulting polynomial expression is classified as Option (C) Quadratic binomial.
To learn more about simplification of polynomials, refer -
https://brainly.com/question/13821862
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