[size=150]State the degree and end behavior of [math]f(x)=\text{-}x^3+5x^2+6x+1[/math].[/size]
[size=150]The graph of a polynomial function [math]f[/math] is shown. 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[/img] [br]Select [b]all[/b] the true statements about the polynomial.
[size=150]Write the sum of [math]5x^2+2x-10[/math] and [math]2x^2+6[/math] as a polynomial in standard form.[/size]
[size=150]State the degree and end behavior of [math]f(x)=4x^3+3x^5-x^2-2[/math].[/size]
Select [b]all[/b] the polynomial functions whose graphs have x-intercepts at [math]x=4,\text{-}\frac{1}{4},\text{-}2[/math].