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skelet666 [1.2K]
3 years ago
14

According to the rational root theorem, which of the following are possible

Mathematics
1 answer:
White raven [17]3 years ago
7 0

Given:

The polynomial function is

F(x)=4x^3-6x^2+9x+10

To find:

The possible roots of the given polynomial using rational root theorem.

Solution:

According to the rational root theorem, all the rational roots and in the form of \dfrac{p}{q}, where, p is a factor of constant and q is the factor of leading coefficient.

We have,

F(x)=4x^3-6x^2+9x+10

Here, the constant term is 10 and the leading coefficient is 4.

Factors of constant term 10 are ±1, ±2, ±5, ±10.

Factors of leading term 4 are ±1, ±2, ±4.

Using rational root theorem, the possible rational roots are

x=\pm 1+,\pm 2, \pm 5, \pm 10,\pm \dfrac{1}{2}, \pm \dfrac{5}{2}, \dfrac{1}{4}, \pm \dfrac{5}{4}

Therefore, the correct options are A, C, D, F.

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Which of the following is the usually first step when using a general strategy for solving equations with fractions?
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Answer:

A. multiply both sides by the LCD

Step-by-step explanation:

It helps cancel out fractions, making it easier to solve the equations

4 0
3 years ago
Please help! Late work!
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(40+41+41+45+48+48+49+49+49+40)/10 = 460/10 = 46

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3 0
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Zoe had a board 5 1/4 feet long she cut off a piece now the board is 3 5/6 feet long how long was the piece she cut off
11Alexandr11 [23.1K]

5 1/4-3 5/6=1 5/12

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7 0
3 years ago
If a circle has a Diameter of 4m and a Radius of 4 units. Then what is Circumference and Area of the circle?
Fiesta28 [93]

Answer & Step-by-step explanation:

Circumference=d\pi \\Area=r^2\pi

The diameter of the circle is 8 m and the radius of the circle is 4 units. So, now we have to plug in the numbers so we can find the circumference and the area of the circle.

Circumference=(8)\pi

Circumference=25.12

So, the circumference of the circle is 25.12 m.

Area=(4)^2\pi

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So, the area of the circle is 50.24 units².

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=^.^= ♥ ☺
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