Sign In
Ask Question
Mathematics
Joseph Trujillo
31 January, 15:41
Factor the expressions.
x2 + 22x + 120 =
+5
Answers (
1
)
Nathaniel Sellers
31 January, 17:55
0
(x + 10 and (x + 12)
Step-by-step explanation:
x^2 + 22x + 120 = (?) (?)
We need to find two constants whose product is 120 and whose sum is 22.
Let the two constants be a and b. Then:
a*b = 120 and a + b = 22.
It's a bit easier to find a and b such that a + b = 22: 2 and 20, 4 and 18, 6 and 16, and so on. Note that 6 + 16 = 22 (correct) but that 6*16 = 96 (not correct). Try 8 and 14, 10 and 12. Note that 10 + 12 = 22 and that 10*12 = 120. So the desired roots are {10, 12} and the desired factors are (x + 10 and (x + 12).
Check: Does (x + 10) (x + 12) work out to x^2 + 22x + 120?
x^2 + 12x + 10x + 120 = x^2 + 22x + 120? YES
The factors are (x + 10 and (x + 12).
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“Factor the expressions. x2 + 22x + 120 = ...”
in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
Robin earns $4320 in a week how much did he earn working for a full year assume robin works 50 weeks during the year
Answers (1)
Assign every student at Coggins Middle School a number then use a random number generator to select the numbers. A. Cluster B. Convenience C. Simple random D. Systematic
Answers (1)
The function b (x) = 2x - 5 determines how many bags of dog food need to be purchased for an animal shelter, where x is the number of dogs at the shelter.
Answers (1)
What is the 8th term in the pattern 2, 10, 18, 26, ... ?
Answers (1)
A sign is 4 1/2 feet wide and 5 1/4 feet long. Find the area of the surface of the sign.
Answers (1)
New Questions in Mathematics
What is an algebraic expression?
Answers (2)
The product of of 16 and g algebraic expression
Answers (2)
What number is equal to 12 thousand 4 tens 7 ones?
Answers (2)
When you multiply two mixed numbers will the product always be greater than 1
Answers (1)
The length and width of a rectangle are consecutive odd integers. The perimeter is 128 meters. Find the length and width.
Answers (1)
Home
»
Mathematics
» Factor the expressions. x2 + 22x + 120 =
Sign In
Sign Up
Forgot Password?