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
Bogdan [553]
3 years ago
5

Will mark brainliest if right and you show your work!

Mathematics
1 answer:
Anna007 [38]3 years ago
6 0

Answer:

(x - 5)(x + 8)

Step-by-step explanation:

Your equation is: x² + 3x - 40

1. Factor the quadratic

(a) Find two numbers that multiply to give -40 and add to give 3.

List the positive factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

One of the numbers must be negative. Start with the numbers near the middle of the list.

By trial and error, you will find that +8 and -5 work:

-5 × 8 = -40 and -5+8 = 3

(b) Rewrite 3x as -5x + 8x

x² - 5x + 8x - 40

(c) Factor the first two and the last two terms

x(x - 5) + 8(x - 5)

(d) Separate the common factor

x² + 3x - 40  = (x - 5)(x + 8)

2. Using Desmos

You can plot the equation with Desmos.

You get a parabola with x-intercepts at x = -8 and x = 5.

These are the solutions to

x + 8 =0 and x - 5 = 0, so

x² + 3x - 40 =  (x+ 8)(x - 5)

You might be interested in
Which of the following describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution? (
aalyn [17]
The correct answer is
A. Divide both sides by 6 and then add 2. The solution is x=8
7 0
3 years ago
Read 2 more answers
The conjugate is used in _____ of complex numbers.
creativ13 [48]
A. quadratic i’m pretty sure
8 0
2 years ago
Read 2 more answers
REALLY NEED HELP!!!<br> PLZ
Advocard [28]
Take a pic of whole page so I can see instructions
7 0
3 years ago
Solve for x <br> m= x+n <br> p
umka21 [38]
The answer will be
x=m-n
6 0
3 years ago
Simplify the following expression by combining like terms. Select the most simplified expression
Jet001 [13]

Answer:

It is D

Step-by-step explanation:

Distribute:

=(4)(5m)+(4)(3)+2m

=20m+12+2m

Combine Like Terms:

=20m+12+2m

=(20m+2m)+(12)

=22m+12

8 0
3 years ago
Other questions:
  • The drawing of a model race car shows a length of 2 inches. The length of the actual model car is 16 inches.
    9·2 answers
  • Rita is adding 3 + (–8) + 1. She rewrites the expression as 3 + (–1) + 8. What is Rita’s error?
    12·2 answers
  • 1. You bike 25 blocks in 20 minutes. Find your speed. *<br> Your answer
    15·1 answer
  • What number should be added to both sides to complete the square? x^2 + 8x = 4
    8·1 answer
  • Write an exponential function for the value, y, after x years
    11·1 answer
  • 12. Frankie got a new job through the Valley Recruiting Service. The job pays $51K per year, and the
    13·1 answer
  • !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    8·1 answer
  • Assignment: Multiply and divide monomials
    7·1 answer
  • This season, the probability that the Yankees will win a game is 0.61 and the probability that the Yankees will score 5 or more
    14·1 answer
  • What is the missing reason in the proof? (Reason 9)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!