What is the standard form of $y = (3 x - 5) (2 x + 11)$ $y=(3x-5)(2x+11)$ ?

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What is the standard form of $y = (3 x - 5) (2 x + 11)$ $y=(3x-5)(2x+11)$ ?

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Answer 1 · 2015-12-12T04:27:29

$y = 6 x^{2} + 23 x - 55$ $y=6x^2+23x-55$

Explanation:

Standard form is $y = a x^{2} + b x + c$ $y=ax^2+bx+c$

So you want to multiply the two factors together.
You can use Foil where you multiply the first two terms then the outer, inner, and last terms. Then add them together

$3 x \cdot 2 x = 6 x$ $3x*2x=6x$

$3 x \cdot 11 = 33 x$ $3x*11=33x$

$- 5 \cdot 2 x = - 10 x$ $-5*2x=-10x$

$- 5 \cdot 11 = - 55$ $-5*11=-55$

$y = 6 x^{2} + 33 x + (- 10 x) + (- 55)$ $y=6x^2+33x+(-10x)+(-55)$

Combine like terms

$y = 6 x^{2} + 23 x - 55$ $y=6x^2+23x-55$

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What is the standard form of $y = (3 x - 5) (2 x + 11)$ $y=(3x-5)(2x+11)$ ?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

What is the standard form of y=(3x−5)(2x+11)y=(3x-5)(2x+11)?

1 Answer

Explanation:

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What is the standard form of $y = (3 x - 5) (2 x + 11)$ $y=(3x-5)(2x+11)$ ?