Sign In
Ask Question
Dana Henson
Mathematics
13 April, 04:44
Factor the trinomial f (x) = 2x² + 5x - 12?
+5
Answers (
1
)
Slade
13 April, 05:06
0
(x + 4) (2x - 3)
Step-by-step explanation:
Given
f (x) = 2x² + 5x - 12
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x - term.
product = 2 * - 12 = - 24 and sum = + 5
The factors are + 8 and - 3
Use these factors to split the x - term
2x² + 8x - 3x - 12 (factor the first/second and third/fourth terms)
2x (x + 4) - 3 (x + 4) ← factor out (x + 4) from each term
(x + 4) (2x - 3)
Thus
f (x) = 2x² + 5x - 12 = (x + 4) (2x - 3) ← in factored form
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“Factor the trinomial f (x) = 2x² + 5x - 12? ...”
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
Maths 1. a shopkeeper buys an article at Rs 150 and sells it at a profit of 12 percentage. find the selling price?
Answers (1)
Simplify 12+3 [5 + (4-2) ]
Answers (2)
Which expression is equivalent to - 28x + 36 A) - 4 (7x - 9) or B) 7 (-4x + 6)
Answers (2)
Which of the following is false about the function y=-4
Answers (1)
Find two consecutive whole numbers that square root 15 lies between
Answers (1)
New Questions in Mathematics
If the probability of a spinner landing on red in a game is 1/5, what is the probability of it not landing on red?
Answers (1)
Every 4/11 people are women. how many women are there is there are 1210 people?
Answers (1)
What is the length of the side opposite ZB? 3 units 4 units 5 units 6 units
Answers (1)
Which expression is equivalent to 3m + 1 - m? 2 + m - 1 + - m 1 + m 3m - 1 3m
Answers (1)
Factor x2 - 6x - 7.
Answers (1)
Home
»
Mathematics
» Factor the trinomial f (x) = 2x² + 5x - 12?
Sign In
Sign Up
Forgot Password?