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3 years ago

Use the rational zero theorem to create a list of all possible rational zeros of the function f(x)=14x7-4x2+2

Mathematics

1 answer:

frosja888 [35]3 years ago

6 0

Answer:

Factor this polynomial:

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

Try to find the rational roots. If p/q is a root (p and q having no factors in common), then p must divide 4 and q must divide 1 (the coefficient of x^3).

The rational roots can thuis be +/1, +/2 and +/4. If you insert these values you find that the roots are at

x = 1, x = 2 and x = -2. This means that

x^3-x^2-4x+4 = A(x - 1)(x - 2)(x + 2)

A = 1, as you can see from equation the coefficient of x^3 on both sides.

Typo:

The rational roots can be

+/-1, +/-2 and +/-4

Step-by-step explanation:

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5.Solve the quadratic equation.

Dafna1 [17]

Answer:

x=5 twice

Step-by-step explanation:

x^2-10x+25=0

multiply the coefficient of x^2 and the last term

1X25=25

find two numbers you can multiply to get 25 and add to get -10

-5 + (-5)=-10 the middle term

replace -10x with -5x -5x and solve the equation

x^2-5x-5x+25=0

factorise by grouping

x(x-5)-5(x-5)=0

(x-5)(x-5)=0

Either x-5=0,x=5 or x-5=0,x=5

Therefore x=5 twice.

5 0

3 years ago

How does the Pythagorean Table help you with addition?

scZoUnD [109]

Answer:

The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. … The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal. The same principles can be used for air navigation.

Step-by-step explanation:

Internet

7 0

3 years ago

Equations and functions

Brilliant_brown [7]

Answer:

first one

Step-by-step explanation:

Absolute value functions usually have that shape. The only absolute value function out of all of the answer choices is the first one.

6 0

3 years ago

Read 2 more answers

Which description is correct for the polynomial 2x² + 2?

Blizzard [7]

Answer:

The polynomial is a quadratic binomial

Step-by-step explanation:

we have

$2x^{2}+2$

Classify the polynomial

<u>By the number of terms</u>

we know that

A polynomial with two terms is a binomial

<u>By the Degree of a Polynomial</u>

we know that

The degree of a polynomial is calculated by finding the largest exponent in the polynomial

In the given problem the largest exponent is $2$

Is a quadratic equation

therefore

The polynomial is a quadratic binomial

6 0

3 years ago

Read 2 more answers

What single transformation was applied to quadrilateral A to get quadrilateral B?

Helen [10]

B : rotation.

Translation is if you are moving the shape from one place to the other. Reflection is if you are flipping the shape over a line ( which it is not ) and dilation is when the shape is becoming bigger or smaller.

6 0

3 years ago