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
docker41 [41]
3 years ago
11

I need help remembering the steps to solve a polynomial equation

Mathematics
1 answer:
murzikaleks [220]3 years ago
3 0
Example 1 – Solve: 3x3 = 12x

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.

 3x^3-12=0

Step 2: Use a factoring strategies to factor the problem.

 3x(x^2-4)=0
3x(x+2)(x-2)=0

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

 3x=0 or x+2=0 or x-2=0

Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.

 x=0 or x=-2 or x=


I hope this helped you!


You might be interested in
PLEASE HELP! Determine the slope and the y-intercept of the table.
natita [175]

Let's take the first 2 x and y values and use them. First, you need to fill in your formula: y2-y1/x2-x1. It should look like this: 5-2/4-2. Then solve and you should get 3/2. You can't simplify it. So, this is your slope.

Next, you need to put this is into another formula. The formula is y-y1=m(x-x1). Take the first coordinate pair and plug it in for x1 and y1. Plug in your slope for m. When it's filled in, you should have y-2+3/2(x-1). It's hard to explain how to solve it so i'll just write it out.

y-2=3/2(x-2)

y-2=3/2x-3

y=3/2x-1

So, we have our equation in slope intercept form so that we have our slope and our y-intercept.

Y-intercept: -1

Slope: 3/2

Please put this as brainliest it took awhile and I hope this helped :) reply with questions if you still need help or have questions about the steps

3 0
3 years ago
Prove that the square of an odd number is always 1 more than a multiple of 4
loris [4]

Answer:

By these examples you are able to see that the square of an odd number is always 1 more than a multiple of 4.

Step-by-step explanation:

For examples,

Let's consider squares of 3, 11, 25, 37 and 131.

{3}^{2}  = 9

8 is a multiple of 4, and 9 is more than 8.

{11}^{2}  = 121

120 is a multiple of 4 and 121 is one more than it.

{25}^{2}  = 625

624 is a multiple of 4 and 625 is one more than it.

{37}^{2}  = 1369

1368 is a multiple of 4 and 1369 is one more than 1368.

{131}^{2}  = 17161

17160 is a multiple of 4.

5 0
3 years ago
The equation x2 − 9 = 0 has real solution(s).
tatiyna

Answer:

The roots are real and unequal (3, -3)

Step-by-step explanation:

x²-9=0

ax²+bx+c=0

Comparing we get,

a= 1

b= 0

c = -9

Determinant: b²-4ac

= 0² - 4(1)(-9)

= 36>0

D > 0

Therefore, the equation has real and unequal roots.

Algebraic identity:

x² - a² = (x-a)(x+a)

Using this identity

x²-9 = (x+3)(x-3)

Roots are 3 and -3 which are real and not equal to each other

Hope this answer helps you ..

6 0
4 years ago
Read 2 more answers
What is the slope of the line represented by the points in the table?
kotykmax [81]

To find the slope(m) of the line, you can use the slope formula:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

and plug in 2 points.

You can use any of the points, I will be using the points (0, -0.25) and (1, -0.2)

m = \frac{y_{2}-y_{1}}{y_{2}-x_{1}}

m = \frac{-0.2 - (-0.25)}{1-0}

m = \frac{-0.2 + 0.25}{1-0}

m = \frac{0.05}{1}


m = 0.05  (The last answer)

8 0
4 years ago
Read 2 more answers
Triangle PQR is similar to triangle XYZ. What is the perimeter of triangle XYZ?
xeze [42]
Triangle PQR is similar to triangle XYZ. What is the perimeter of triangle XYZ? Where is the picture
6 0
3 years ago
Other questions:
  • The amount of water remaining in a fish tank is given by the equation y = 175 - 15x where y is the number of gallons of water re
    9·1 answer
  • Write an inequality that represents the statement "x is greater than -3 and less than or equal to 4."
    9·1 answer
  • Simplify 8 3{x - 2[x 5(x 3)]}.
    7·1 answer
  • Which of the following is equal to 2 -5 ?
    6·1 answer
  • Solve the system by substitution. (Please Explain how you did it Ill give brainliest)
    6·1 answer
  • PLEASE HELP ME!!!!!!!!!!
    6·1 answer
  • 8,626 round to the nearest thousand?
    9·1 answer
  • Cuál es el radio de un círculo con diámetro de 47 mm​
    6·1 answer
  • What is the total volume of both storage spaces if one side of the large storage space is 4 feet long?
    8·1 answer
  • Can a triangle be formed with side lengths 15, 7, and 6? Explain.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!