What is the standard form of $y = (- 2 x + 3) (- x - 1)$ $y= (-2x+3)(-x-1)$ ?

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Answer 1 · 2018-06-06T11:44:37

$y = 2 x^{2} - x - 3$ $y=2x^2-x-3$

Given:

$y = (- 2 x + 3) (- x - 1)$ $y=(-2x+3)(-x-1)$

The standard form for a quadratic equation is:

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

To convert the given equation to standard form, multiply the two binomials using the FOIL method.
https://www.ipracticemath.com/learn/algebra/foil-method-of-binomial-multiplication

$y = (- 2 x \cdot - x) + (- 2 x \cdot - 1) + (3 \cdot - x) + (3 \cdot - 1)$ $y=(-2x*-x)+(-2x*-1)+(3*-x)+(3*-1)$

$y = 2 x^{2} + 2 x - 3 x - 3$ $y=2x^2+2x-3x-3$

Combine like terms.

$y = 2 x^{2} - x - 3$ $y=2x^2-x-3$

What is the standard form of y= (-2x+3)(-x-1) y=(−2x+3)(−x−1)y= (-2x+3)(-x-1) ?