What is the standard form of a polynomial $6 x (x^{2} + 2 x + 1)$ $6x(x^2+2x+1)$ ?

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What is the standard form of a polynomial $6 x (x^{2} + 2 x + 1)$ $6x(x^2+2x+1)$ ?

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Answer 1 · 2016-04-03T19:16:17

$6 x^{3} + 12 x^{2} + 6 x$ $6x^3+12x^2+6x$

Explanation:

$1$ $1$ . Use the distributive property, $a (b$ $color(red)a(color(blue)b$ $+ c) = a b$ $color(violet)(+c))=color(red)acolor(blue)b$ $+ a c$ $color(red)(+a)color(violet)c$ , to multiply $6 x$ $6x$ by each term within the brackets.

$6 x (x^{2}$ $color(red)(6x)(color(blue)(x^2)$ $+ 2 x$ $color(violet)(+2x)$ $+ 1)$ $color(darkorange)(+1))$

$= 6 x (x^{2}) + 6 x (2 x) + 6 x (1)$ $=color(red)(6x)(color(blue)(x^2))color(red)(+6x)(color(violet)(2x))color(red)(+6x)(color(orange)1)$

$2$ $2$ . Simplify.

$=color(green)(|bar(ul(color(white)(a/a)6x^3+12x^2+6xcolor(white)(a/a)|)))$

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What is the standard form of a polynomial $6 x (x^{2} + 2 x + 1)$ $6x(x^2+2x+1)$ ?

1 Answer

Explanation:

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What is the standard form of a polynomial 6x(x^2+2x+1)6x(x2+2x+1)6x(x^2+2x+1)?

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Explanation:

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What is the standard form of a polynomial $6 x (x^{2} + 2 x + 1)$ $6x(x^2+2x+1)$ ?