What is the standard form of # 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+8x+12#.

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

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

# =x^2+2x+color(blue)6*color(green)x+color(blue)6*color(purple)2 #

# =x^2+2x+6x+color(blue)6*color(purple)2 #

# =x^2+8x+color(blue)6*color(purple)2 #

# =x^2+8x+12 #