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zimovet [89]
2 years ago
12

What's 5,250 divided by 6

Mathematics
2 answers:
Leya [2.2K]2 years ago
8 0

Answer:

875

Step-by-step explanation:

5,250 divided by 6 is 875

ANTONII [103]2 years ago
5 0
875

Use a calculator lol
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Factor the cubic polynomial 6x3 – 11x2 – 12x 5. use the rational root theorem and synthetic division
pochemuha

The factorization of given cubic polynomial 6x³ - 11x² - 12x + 5 is:  

6x³ - 11x² - 12x + 5 = (x + 1)(x - \frac{5}{2})(x - \frac{1}{3})

For given question,

We have been given the cubic polynomial 6x³ - 11x² - 12x + 5

We need to factorize given cubic polynomial.

By the rational roots theorem, any rational zero of f(x) is expressible in the form ± \frac{p}{q} for integers p, q with p a divisor of the constant term 5 and q a divisor of the coefficient 6 of the leading term.

Factors of p = 5: 1, 5

Factors of q = 6: 1, 2, 3, 6

That means that the only possible rational zeros are:

±{ \frac{1}{1} ,\frac{1}{2} ,\frac{1}{3} ,\frac{1}{6} ,\frac{5}{1} ,\frac{5}{2} ,\frac{5}{3} ,\frac{5}{6} }

= ±{ 1 ,\frac{1}{2} ,\frac{1}{3} ,\frac{1}{6} ,5 ,\frac{5}{2} ,\frac{5}{3} ,\frac{5}{6} }

We need to find the exact zeros of given cubic polynomial.

For x = 1,

6(1)³ - 11(1)² - 12(1) + 5 = -12

This means, x = 1 is not a zero of given cubic polynomial.

For x = -1,

6(-1)³ - 11(-1)² - 12(-1) + 5 = 0

This means, x = -1 is a zero of given cubic polynomial and (x + 1) is a factor.

To factorize given cubic polynomial we use synthetic division.

The synthetic division (6x³ - 11x² - 12x + 5) ÷ (x + 1) is as shown in following image.

⇒ 6x³ - 11x² - 12x + 5 = (x + 1)(6x² - 17x + 5)

The factors of above quadratic polynomial 6x² - 17x + 5 are:

⇒ 6x² - 17x + 5 = (x - \frac{5}{2})(x - \frac{1}{3})

So, the factors of given cubic polynomial are:

⇒ 6x³ - 11x² - 12x + 5 = (x + 1)(x - \frac{5}{2})(x - \frac{1}{3})

Therefore, the factorization of given cubic polynomial 6x³ - 11x² - 12x + 5 is:  6x³ - 11x² - 12x + 5 = (x + 1)(x - \frac{5}{2})(x - \frac{1}{3})

Learn more about the polynomial here:

brainly.com/question/16594008

#SPJ4

4 0
1 year ago
Simplify an expression for the area of a rectangle with side lengths 12 and (5/6x+23).
lesantik [10]

Answer:

10x+23 (pretty sure) and the * means multiply

Step-by-step explanation:

12*(5\6x+23)\\12*5/6x\\12/1*5/6x\\60/6x\\10x+23

4 0
3 years ago
50 points!! Please help will name brainliest.
grandymaker [24]
Nah this is easy. LQM is a rough estimate of 4050, which every angle is 70 degrees because it’s an acute triangle
8 0
3 years ago
Solve the equation 5(a – 7) + 11 = 2a – 3(a + 4) for a
Lady bird [3.3K]
The answer is a equals 6.
6 0
3 years ago
Read 2 more answers
VODU
garri49 [273]

Answer:

r = ∛(3V/4π)

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³.

We want to solve this first for r³ and then for r.

Multiplying both sides of V = (4/3)πr³ by 3 yields an equation without fractions:  3V = 4πr³.

Dividing both sides of this equation by 4π isolates r³:

       3V

r³ = -------

       4π

To find r, take the cube root of both sides of

       3V

r³ = -------

       4π

obtaining r = ∛(3V/4π)

3 0
3 years ago
Read 2 more answers
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