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adoni [48]
3 years ago
11

Simplify each product. Write in standard form. Explain

Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0
Use distributive property:
16. 5k(3 - 4k)
15k - 20k^2
18. 6g^2(g - 8)
6g^3 - 48g^2
20. -2n^2 (5n - 9 + 4n^2)
-10n^3 + 18n^2 - 8n^4
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Which shows the factored form of x2 – 12x – 45? (x 3)(x – 15) (x – 3)(x – 15) (x 3)(x 15) (x – 3)(x 15).
Aleksandr [31]

The factors of the quadratic equation are (x+3) and (x-15).

<h2 /><h2>Given to us</h2>
  • x^2-12x-45\\

<h3>To find</h3>

The factors of x^2-12x-45\\.

<h3 /><h3>Solution</h3>

x^2-12x-45\\

As we can see in the quadratic equation the value of ac is -45x². therefore, we need to divide -12x into two parts such that their sum must give -12x and their product gives us -45x².

therefore, dividing -12x into -15x and 3x,

x^2-15x+3x-45\\

Taking common out,

x^2-15x+3x-45\\x(x-15)+3(x-15)\\(x+3)(x-15)

Hence, the factors of the quadratic equation are (x+3) and (x-15).

Learn more about quadratic equations:

brainly.com/question/2263981

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2 years ago
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