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Factor this expression X^2+9x+20. Show your work please

User HenrikB
by
5.6k points

2 Answers

3 votes

For this case we must factor the following expression:


x ^ 2 + 9x + 20

To do this, we must find two numbers that, when multiplied, result in 20 and when added together, result is obtained 9. These numbers are 5 and 4.


5 * 4 = 20\\5 + 4 = 9

So we have to express the expression as:


(x + 5) (x + 4)

Answer:


(x + 5) (x + 4)

User Ted Brownlow
by
5.0k points
4 votes

You must remember that a polynomial is written like so...

ax^2 + bx + c

In this case...

a = 1

b = 9

c = 20

To factor you must find two numbers who both add up to b (9) AND multiply to c (20)

5 + 4 = 9

5 * 4 = 20

so...

(x + 5)(x + 4)

Hope this helped!

~Just a girl in love with Shawn Mendes

User Rockyraw
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5.2k points