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Multiply the following polynomials. Once simplified, name the resulting polynomial. (x + 2) (4x^2 - 3x - 2)name:

Answer :

[tex]\begin{gathered} (x+2)(4x^2-3x-2) \\ =x\cdot\: 4x^2+x(-3x)+x(-2)+2\cdot\: 4x^2+2(-3x)+2(-2) \\ =4x^2x-3xx-2x+2\cdot\: 4x^2-2\cdot\: 3x-2\cdot\: 2 \\ =4x^3-3x^2+8x^2-2x-6x-4 \\ =4x^3+5x^2-8x-4 \end{gathered}[/tex]

The resulting polynomial consists of four terms , it is called a quadrinomial.

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