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
Harrizon [31]
3 years ago
14

Solve the following quadratic by factoring.

Mathematics
1 answer:
Lina20 [59]3 years ago
5 0

Answer:

4, -1

Step-by-step explanation:

We can reverse the FOIL (First, outside, inside, last) method to break down the equation. The question is asking to solve by factoring so you want to find the right combination of numbers this equation can be broken down into:

x^2 - 3x - 4 = 0

Because we want x squared, x needs to be multiplied by itself, so we can put x in the first slot for each.

(x + or - ?) ( x + or - ?) = 0

Then we need to find numbers that could be added to get -3 and multiplied to get -4. The only set of numbers that works for this is -4 and 1. Note that the sign you put in front of each number has an impact on your answers. With this we get:

(x - 4) (x + 1) = 0

To test that this is equal to the original equation, simply multiply it out using FOIL.

x * x = x^2

x * 1 = x

x * -4 = -4x

-4 * 1 = -4

Putting each component into an equation:

x^2 + x - 4x - 4 = 0

Simplifying:

x^2 - 3x - 4 = 0

Once we are sure it is still the same equation, we find the solutions. We know 0 multiplied by anything equals 0, so to get 0 as the answer, one of the sets in the parentheses must equal 0. (It doesn't matter what the other one is as long is one equals 0)

Therefore, we have 2 solutions, 4, and -1 because if x is 4, 4-4 is 0 which solves the equation, and if x is -1, then -1 + 1 is 0 which also solves the equation.

You can also check your answers by plugging them back into the original equation.

You might be interested in
F(x)=3x^2+2x-3 and g(x)=2x+4. Identify the rule for f+g
Sergio039 [100]

Answer:

3x^2 +4x+1

Step-by-step explanation:

Hope this helps :)

8 0
3 years ago
the nth pyramidal number tells how many cannonballs there are in a square arrangement that is n cannonballs square. a: true b: f
anzhelika [568]
This statement is true.

A pyramidal number tells the number of balls that could be stacked evenly with square bases. If were are looking for the nth pyramidal number, that is a pyramid with a square base that is n by n.
6 0
3 years ago
Read 2 more answers
What is 0.0000091 written in scientific notation
zaharov [31]
The goal of writing a number in scientific notation is to have a decimal number, with one digit to the left of the decimal point, followed by a <span>×⨯</span><span>1010</span> to some power. To format the number this way, multiply the <span>0.00000910.0000091</span> by <span>1010</span> <span><span>−6</span><span>-6</span></span> times, making it <span>9.19.1</span>. Each multiplication by <span>1010</span> moves the decimal point one digit to the left, but in order to keep the same number, multiply <span>9.19.1</span> by <span><span>10<span>−6</span></span><span>10<span>-6</span></span></span>.<span>9.1×<span>10<span>−<span>6</span></span></span></span>
8 0
3 years ago
Read 2 more answers
Which table represents a function?
yawa3891 [41]
B represents a function ✔️
7 0
2 years ago
Howmany days are their in a year
ra1l [238]
365 days are in a year
4 0
3 years ago
Read 2 more answers
Other questions:
  • Select all of the following that are quadratic equations.
    6·1 answer
  • Simon Whitfield Victoria, British Columbia, won the men's triathlon at the Sydney Olympics. The race consisted of 1.5 km swim in
    9·1 answer
  • Can someone please help me ASAP
    7·2 answers
  • Which problem solving strategy would be best to solve this problem? Avelina earned half as much money as Gus. If Gus earned $125
    15·1 answer
  • Heeeeeeeeeeeelllllllllllllpppppppppppppp​
    7·1 answer
  • How can you multiply positive and negative fractions?
    11·1 answer
  • 4x + 3y = 1<br> x - 3y = -11
    14·2 answers
  • 3х - 2 = 4 - x<br> pleaseee answer this is due in 20 minutes
    11·1 answer
  • Solve the quadratic equation using any method. Round to the nearest tenth if neccessary. Any Help Is Appreciated
    15·1 answer
  • HELP DUE TOMORROW GUYS
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!