Question

Algebra 2 Honors Project help please!
I need to get this done! D:

Answer 1

1.Determine how many, what type, and find the roots for f(x) = x^4 + 21x^2 – 100.

2.Determine how many, what type, and find the roots for f(x) = x^3 - 5x^2 – 25x + 125.

3.The following graph shows a seventh-degree polynomial:
graph of a polynomial that touches the x axis at negative 5, crosses the x axis at negative 1, crosses the y axis at negative 2, crosses the x axis at 4, and crosses the x axis at 7.
Part 1: List the polynomial’s zeroes with possible multiplicities.
Part 2: Write a possible factored form of the seventh degree function.

4.Without plotting any points other than intercepts, draw a possible graph of the following polynomial:
f(x) = (x + 8)^3(x + 6)^2(x + 2)(x – 1)^3(x – 3)^4(x – 6).

Answer 2

@Kawaiicat123 Can you help me please?? ;A;

Answer 3

Four solutions were found :

x = 5
x = -5
x = 0.0000 - 2.0000 i
x = 0.0000 + 2.0000 i
Reformatting the input :

Tiger made changes, which won't affect the solution, to your input:

(1): "x2" was replaced by "x^2". 1 more similar replacement(s).

Rearrange :

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

0-(x^4-21*x^2-100)=0

Step by step solution :

Step 1 :

Simplify 0 - x4-21x2-100
Trying to factor by splitting the middle term

1.1 Factoring -x4+21x2+100

The first term is, -x4 its coefficient is -1
The middle term is, +21x2 its coefficient is 21
The last term, "the constant", is +100

Step-1 : Multiply the coefficient of the first term by the constant -1 • 100 = -100

Step-2 : Find two factors of -100 whose sum equals the coefficient of the middle term, which is 21

-100 + 1 = -99
-50 + 2 = -48
-25 + 4 = -21
-20 + 5 = -15
-10 + 10 = 0
-5 + 20 = 15
-4 + 25 = 21 Tiger found it!!
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, (-4) and (25)
-x4 - 4x2 + 25x2 + 100

Step-4 : Add up the first 2 terms, pulling out like factors :
-x2 • (x2+4)
Add up the last 2 terms, pulling out common factors :
25 • (x2+4)
Now add up the four terms of step 3 :
(-x2+25) • (x2+4)
Which is the desired factorization

Answer 4

Four solutions were found :

x = 5
x = -5
x = 0.0000 - 2.0000 i
x = 0.0000 + 2.0000 i
Reformatting the input :

Tiger made changes, which won't affect the solution, to your input:

(1): "x2" was replaced by "x^2". 1 more similar replacement(s).

Rearrange :

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

0-(x^4-21*x^2-100)=0

Step by step solution :

Step 1 :

Simplify 0 - x4-21x2-100
Trying to factor by splitting the middle term

1.1 Factoring -x4+21x2+100

The first term is, -x4 its coefficient is -1
The middle term is, +21x2 its coefficient is 21
The last term, "the constant", is +100

Step-1 : Multiply the coefficient of the first term by the constant -1 • 100 = -100

Step-2 : Find two factors of -100 whose sum equals the coefficient of the middle term, which is 21

-100 + 1 = -99
-50 + 2 = -48
-25 + 4 = -21
-20 + 5 = -15
-10 + 10 = 0
-5 + 20 = 15
-4 + 25 = 21 Tiger found it!!
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, (-4) and (25)
-x4 - 4x2 + 25x2 + 100

Step-4 : Add up the first 2 terms, pulling out like factors :
-x2 • (x2+4)
Add up the last 2 terms, pulling out common factors :
25 • (x2+4)
Now add up the four terms of step 3 :
(-x2+25) • (x2+4)
Which is the desired factorization

Answer 5

Whoah, holy poop, what is that to???