What is the standard form of $y = (x + 6) (x + 2)$ $y=(x + 6)(x + 2)$ ?

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What is the standard form of $y = (x + 6) (x + 2)$ $y=(x + 6)(x + 2)$ ?

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Answer 1 · 2018-03-12T00:54:40

The polynomial in standard form is $y = x^{2} + 8 x + 12$ $y=x^2+8x+12$ .

Explanation:

Use the distributive property to expand the multiplication (I color-coded each part so it's easier to follow):

$= (x + 6) (x + 2)$ $color(white)=(color(red)x+color(blue)6)(color(green)x+color(purple)2)$

$= x \cdot x + x \cdot 2 + 6 \cdot x + 6 \cdot 2$ $=color(red)x*color(green)x+color(red)x*color(purple)2+color(blue)6*color(green)x+color(blue)6*color(purple)2$

$= x^{2} + x \cdot 2 + 6 \cdot x + 6 \cdot 2$ $=x^2+color(red)x*color(purple)2+color(blue)6*color(green)x+color(blue)6*color(purple)2$

$= x^{2} + 2 x + 6 \cdot x + 6 \cdot 2$ $=x^2+2x+color(blue)6*color(green)x+color(blue)6*color(purple)2$

$= x^{2} + 2 x + 6 x + 6 \cdot 2$ $=x^2+2x+6x+color(blue)6*color(purple)2$

$= x^{2} + 8 x + 6 \cdot 2$ $=x^2+8x+color(blue)6*color(purple)2$

$= x^{2} + 8 x + 12$ $=x^2+8x+12$

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What is the standard form of $y = (x + 6) (x + 2)$ $y=(x + 6)(x + 2)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is the standard form of y=(x+6)(x+2) y=(x + 6)(x + 2) ?

1 Answer

Explanation:

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Impact of this question

What is the standard form of $y = (x + 6) (x + 2)$ $y=(x + 6)(x + 2)$ ?