Sign In
Ask Question
Gregory Osborn
Mathematics
19 September, 03:09
Factor 3x^2-19x+20
+3
Answers (
1
)
Fowler
19 September, 03:26
0
(3x-4) (x-5)
Step-by-step explanation:
This is in the form
ax²+bx+c.
To factor this, we find factors of a·c that sum to b; this means factors of 3 (20) = 60 that sum to - 19:
60 = 1 (60) or - 1 (-60); 2 (30) or - 2 (-30); 3 (20) or - 3 (-20); 4 (15) or - 4 (-15); 5 (12) or - 5 (-12); 6 (10) or - 6 (-10). The only of these that sum to - 19 are - 4 and - 15. This means we will split up - 19x into - 4x and - 15x:
3x²-4x-15x+20
Next we group the first two terms and the last two terms:
(3x²-4x) + (-15x+20)
Factor out the GCF of each group. For the first group, this is x:
x (3x-4)
For the second group, this is - 5:
-5 (3x-4)
The common factor for these two groups is (3x-4):
(3x-4) (x-5)
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“Factor 3x^2-19x+20 ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
4/10+6/100+3/10+81/100
Answers (1)
There are 4 red golf balls and 2 green golf balls in a bucket. You select a ball at random, keep it, and select again. Find the probability. P (both green) A. 1/15 B. 2/3 C. 1/2 D. 1/9
Answers (1)
You decide to invest in a period annuity that offers 4.5% APR compounded monthly for 15 years how much money will you need to invest if your desired yearly income is $40,000? A. $460,000.00 B.$321,631.08 c.$471,283.83 D$432,835.96
Answers (1)
The brackets for a shelf are in a shape of a triangle. Find the angles of the triangle if the measures of the angles are in the ratio x : 2x : 3x :
Answers (2)
An expression is given: 35c + 14b - 7. use the GCF of the terms to write an equivalent expression.
Answers (1)
New Questions in Mathematics
What is a equivalent fraction to 1/2
Answers (2)
Estimate the width of a field that has an area of 6,000 square meters and a length of 118.5 meters
Answers (1)
What is 8 10/27-1 2/9?
Answers (1)
Anna is a sales person who has jobs this week in cities within North Carolina and South Carolina. On a map, these two cities are 50 centimeters apart. The map uses a scale of 2 centimeters = 4 kilometers.
Answers (1)
How many ways can you write 5^8 as a quotient of two exponential term
Answers (1)
Home
»
Mathematics
» Factor 3x^2-19x+20
Sign In
Sign Up
Forgot Password?