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3 years ago

Please do step by steps for each!

Mathematics

1 answer:

Schach [20]3 years ago

3 0

Answer:

x² - 8x + 12
x³ + 2x² - 15x - 36
x³ -2x² - 15x

Step-by-step explanation:

#1) Find the polynomial with roots at 2 and 6

(x -2)(x - 6) = x² - 8x + 12

#2) Find the polynomial with a double root at -3 and another root at 4

(x+3)(x+3)(x-4) = (x²+6x+9)(x-4) = x³ + 2x² - 15x - 36

#3) Find the polynomial with roots 0, -3 and 5

(x -0)(x+3)(x-5) = x(x²-2x - 15) = x³ -2x² - 15x

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Is 0.75 greater than 0.100?

Naya [18.7K]

Yes because you only need to look at the first decimal for problems like these and the first number you see a seven and a one and seven is greater than one

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3 years ago

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evablogger [386]

Answer:

x = 8

Step-by-step explanation:

you have similar triangles here

so 2 is to 4 as 4 is to x

2/4 = 4/x

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3 years ago

In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find all the possible values of the combined weights of the k

Dima020 [189]

Let's use w to symbolize the weight of kittens. Given by the statement "each kitten weighs less than 3.5 ounces" we know that

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3 years ago

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gulaghasi [49]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

When using the rational root theorem, which of the following is a possible root of the polynomial function below f(x)=x^3-5x^2-1

uranmaximum [27]

Answer:

$\Large \boxed{\sf \ \ 7 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

The polynomial function is

$x^3-5x^2-12x+14$

The rational root theorem states that each rational solution

$x=\dfrac{p}{q}$

, written in irreducible fraction, satisfies the two following:

p is a factor of the constant term

q is a factor of the leading coefficient

In this example, the constant term is 14 and the leading coefficient is 1. It means that p is a factor of 14 and q a factor of 1.

Let's proceed with the prime factorisation of 14:

14 = 2 * 7

Finally, the possible rational roots of this expression are :

and we need to test for negative ones too

-1

-2

-7

-14

From your list, the correct answer is 7.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0

3 years ago