What is the standard form of $y = 3 (2 x + 1) (x - 5)$ $y= 3(2x + 1)(x - 5)$ ?

Question

What is the standard form of $y = 3 (2 x + 1) (x - 5)$ $y= 3(2x + 1)(x - 5)$ ?

1 Answer

Impact of this question

2019 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-20T00:46:36

$6 x^{2} - 27 x - 15$ $6x^2-27x-15$

Explanation:

$3 (2 x + 1) (x - 5)$ $3color(blue)((2x+1)(x-5))$

Let's ignore the $3$ $3$ for now. What I have in blue, we can multiply using the mnemonic FOIL (Firsts, Outsides, Insides, Lasts). This is the order we multiply in.

First terms: $2 x \cdot x = 2 x^{2}$ $2x*x=2x^2$
Outside terms: $2 x \cdot - 5 = - 10 x$ $2x*-5=-10x$
Inside terms: $1 \cdot x = x$ $1*x=x$
Last terms: $1 \cdot - 5 = - 5$ $1*-5=-5$

We get the following:

$2 x^{2} - 10 x + x - 5$ $2x^2-10x+x-5$

Which is equal to

$2 x^{2} - 9 x - 5$ $2x^2-9x-5$

Remember, this is what I had in blue. We still have the $3$ $3$ on the outside:

$3 (2 x^{2} - 9 x - 5)$ $3color(blue)((2x^2-9x-5))$

Distributing the $3$ $3$ gives us

$6 x^{2} - 27 x - 15$ $6x^2-27x-15$

Hope this helps!

Science

Math

Humanities

... and beyond

What is the standard form of $y = 3 (2 x + 1) (x - 5)$ $y= 3(2x + 1)(x - 5)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is the standard form of y=3(2x+1)(x−5)y= 3(2x + 1)(x - 5) ?

1 Answer

Explanation:

Related questions

Impact of this question

What is the standard form of $y = 3 (2 x + 1) (x - 5)$ $y= 3(2x + 1)(x - 5)$ ?