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Show all your work multiplying the polynomials above:
(You can use the FOIL or Box Method)
(x^3-4x^2+1)(3x^2+x)

Show All Your Work Multiplying The Polynomials Above You Can Use The FOIL Or Box Method X34x213x2x class=

Sagot :

Answer:

3[tex]x^{5}[/tex] - 11[tex]x^{4}[/tex] - 4x³ + 3x² + x

Step-by-step explanation:

(x³ - 4x² + 1)(3x² + x)

Each term in the second factor is multiplied by each term in the first factor, that is

x³(3x² + x) - 4x²(3x² + x) + 1 (3x² + x) ← distribute parenthesis

= 3[tex]x^{5}[/tex] + [tex]x^{4}[/tex] - 12[tex]x^{4}[/tex] - 4x³ + 3x² + x ← collect like terms

= 3[tex]x^{5}[/tex] - 11[tex]x^{4}[/tex] - 4x³ + 3x² + x

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