1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fenix001 [56]
3 years ago
9

Factor the trinomial f(x) = 2x² + 5x – 12 ?

Mathematics
1 answer:
gavmur [86]3 years ago
5 0

Answer:

(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

You might be interested in
Find cot theta if 180° < theta < 270° and cos theta = - sqrt 3/2
avanturin [10]

Answer:

cot theta = -√3

Step-by-step explanation:

we are given that  cos theta = - √3/2 within the range 180° < theta < 270° and

since cos theta = adj/hyp

adj = - √3

hyp = 2

Get the opposite using the pythagoras theorem

hyp^2 = opp^2 + adj^2

2² = opp² + (-√3)²

4 = opp² + 3

opp² = 4-3

opp² = 1

opp = 1

tan theta = opp/adj

tan theta = - 1/√3

Recall that cot theta = 1/tan theta

cot theta = 1/(-1/√3)

cot theta = -√3

8 0
2 years ago
Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad
AlekseyPX

Answer:

Step-by-step explanation:

x=number of talk mnutes

Sage uses 7 minutes = x-7

Tom uses 4 and 3 minutes = x-4-3    = x-7

7 0
2 years ago
Read 2 more answers
NEED HELP HURRY
Serga [27]

Answer:

6.3+1.1

Step-by-step explanation:

The communitive property of addition states that no matter what order of the numerical values the answer will be the same. hope this helps

8 0
3 years ago
Mariah just read the following passage in a short story:
Nana76 [90]

Answer:

D. enlargement

Step-by-step explanation:

enlargement means to increase something

3 0
2 years ago
Read 2 more answers
Why does it make sense that 4 x (-3) and -3 x 4 have the same product?
Contact [7]

Answer:

hello!!!

We will learn it simple method,we know that multiplication of whole numbers is repeated addition. For example

3*4= 4+4+4

in this same way we can say that

[-12]=(-3)+(-3)+(-3)+(-3)

also,

4(*-3)=(-12)

for the second equation we can take it same as the above one

So it make no diffrence when we multiplied integers as (positive)*(negative) OR (NEGATIVE)*(POSITIVE)

And so now we can say

FOR ANY TWO POSITIVE INTEGER a and b WE CAN SAY

 (-a) *(b) = (-b)*(a) = -(a*b)

HOPE FULLY U MAY LIKED MY ANSWER GIVE POSITIVE FEEDBACK AND IF WANTS ANYTHING OTHER YOU MAY ASK ME IN COMMENT

7 0
9 months ago
Other questions:
  • What is the vaule of the function y=1.3x+23 when x=-7<br><br><br>i need helppp i have intill 11:30
    10·1 answer
  • How do you spell 4 billion in scientific notation
    8·1 answer
  • A rectangle or patio has a length of 12 1/2 feet and an area of 103 1/8 feet. What is the width of the patio?
    15·1 answer
  • For the standard normal probability distribution, the area to the left of the mean is
    10·1 answer
  • 150,75,50 what number comes next
    11·1 answer
  • How am I supposed to show my work on this problem ?
    11·2 answers
  • Aaron made a $400 purchase using his credit card. The credit card has a simple interest rate of 12% each year. How much will Aar
    13·1 answer
  • 1.Which system of linear inequalities is graphed? <br>​
    5·2 answers
  • 7 apples cost 4.55 what cost per apples
    8·1 answer
  • HELP!!! LOTS OF POINTS AND I GIVE BRIANLEST NO FAKE ANSWERS
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!