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densk [106]
3 years ago
11

Factoring each polynomial 4x^3+ 8x^2+ 12x

Mathematics
1 answer:
babymother [125]3 years ago
6 0

Answer:4x(x^2+2x+3)

Step-by-step explanation:

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Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real
garik1379 [7]

The complete question is

"Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real number solutions? (The related quadratic function will have two x-intercepts.) Check all that apply.

0 = 2x^2 – 7x – 9

0 = 4x^ 2 – 3x – 1

The quadratic equations that have real number solutions are; 4x^2 – 3x – 1, and 2x^2 – 7x – 9.

<h3>What is the formula for Discriminant?</h3>

The formula for finding the discriminant is

b^2 - 4ac

The solution contains the term \sqrt{b^2 - 4ac} which will be:

Real and distinct if the discriminant is positive

Real and equal if the discriminant is 0

Non-real and distinct roots if the discriminant is negative

For the quadratic equation 2x^2 - 7x - 9

b^2 - 4ac

= (-7) ^2 - 4( 2) ( -9)\\\\= 49 + 72 = 121

This equation has two real number solutions.

For the quadratic equation 4x^ 2 - 3x- 1

b^2 - 4ac

= (-3) ^2 - 4( 4) ( -1)\\\\= 9 + 16 = 25

This equation will have two real number solutions.

Learn more on discriminant here:

brainly.com/question/1537997

#SPJ1

5 0
2 years ago
How many solutions does the system have?
Ipatiy [6.2K]
It’s has NO SOLUTION.
8 0
3 years ago
Read 2 more answers
Plz help me with this
Salsk061 [2.6K]

Answer:   \bold{b)\quad \dfrac{x+3}{4}}

<u>Step-by-step explanation:</u>

y=4x-3\\\\\text{Swap the x's and y's. Then solve for y:}\\x=4y-3\\\\\text{Add 3 to both sides:}\\x+3=4y\\\\\text{Divide both sides by 4:}\\\large\boxed{\dfrac{x+3}{4}=y}

4 0
4 years ago
What is .5417 as a fraction?
Phantasy [73]

Answer:

5417/10000

Step-by-step explanation:

Solution for what is .5417 in fraction in simplest form?

.5417 =

.5417:1 =

5417:10000 =

0.5417 in fraction = 5417/10000

3 0
3 years ago
Which of these expressions are equivalent to 0.05(x-40)
Neporo4naja [7]

Answer:

0.05x-2

Step-by-step explanation:

0.05 times x is 0.05x

-40 times 0.05 is -2

put it together and it is 0.05x-2

6 0
3 years ago
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