For the polynomial function [math]f(x)=x^3-2x^2-5x+6[/math] we have [math]f(0)=6,f(2)=\text{-}4,f(\text{-}2)=0,f(3)=0,f(\text{-}1)=8,f(1)=0[/math]. Rewrite [math]f(x)[/math] as a product of linear factors.
Select [b]all[/b] the polynomials that have [math](x-4)[/math] as a factor.
Write a polynomial function, [math]p(x)[/math], with degree 3 that has [math]p(7)=0[/math].
Long division was used here to divide the polynomial function [math]p(x)=x^3+7x^2-20x-110[/math] by [math](x-5)[/math] and to divide it by [math](x+5)[/math].[br][img]data:image/png;base64,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[/img][br]What is [math]p(\text{-}5)[/math]?
What is [math]p(5)[/math]?
Which polynomial function has zeros when [math]x=5,\frac{2}{3},\text{-}7[/math]?
The polynomial function [math]q(x)=3x^4+8x^3-13x^2-22x+24[/math] has known factors [math](x+3)[/math] and [math](x+2)[/math]. [br]Rewrite [math]q(x)[/math] as the product of linear factors. You can use the applet below to show your work.