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3 years ago

Please help me with this

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

8 0

Answer: -6, -3, -2, -1, 1, 2, 3, 6

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

NOTES: p is the last term, q is the coefficient of the first term

Determine all of the factors of p and all of the factors of q

Possible rational roots are all of the combinations of p/q for every factor

$\dfrac{p}{q}=\pm \dfrac{6}{1}=\pm \dfrac{1\times 6, 2\times 3}{1}=\pm\dfrac{1}{1}, \pm\dfrac{6}{1}, \pm\dfrac{2}{1}, \pm\dfrac{3}{1}\\\\\\\text{In order from smallest to largest:}\ \large\boxed{-6, -3, -2, -1, +1, +2, +3, +6}$

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HELP!! Given f(x)=5x squared and g(x) = x squared + 2x squared - 5x, what is F (x) * g(x)?

TEA [102]

X^2+2x^2-5x

((x^2)+2x^2)-5x

Pull the factors out

3x^2-5x=x(3x-5)

x(3x-5)

x(3x-5)*5x^2

5x(3x-5)*x^2

Final

5x^3*(3x-5)

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3 years ago

Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 1.2 when y

baherus [9]

Y = k/x where k is the constant of variation
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3 years ago

Given a leading coefficient of 8, polynomial roots of 1 & 2, and the known point on the graph (4,5). Write an equation that

m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

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$y=a(x-c_1)(x-c_2)...(x-c_n)$

Where, a is a constant and $c_1,c_2,...,c_n$ are the roots of the polynomial.

Polynomial roots are 1 and 2. So, $(x-1)$ and $(x-2)$ are the factors of the polynomial.

Let the third root of the polynomial by c, then $(x-c)$ is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

$y=8(x-1)(x-2)(x-c)$

The graph passes through the point (4,5). Putting $x=4,y=5$ , we get

$5=8(4-1)(4-2)(4-c)$

$5=8(3)(2)(4-c)$

$5=48(4-c)$

Divide both sides by 48.

$\dfrac{5}{48}=4-c$

$c=4-\dfrac{5}{48}$

$c=\dfrac{192-5}{48}$

$c=\dfrac{187}{48}$

Therefore, the 3rd root on the polynomial is $\dfrac{187}{48}$ .

8 0

3 years ago

Simplify the expression below. 3c - 2cd - 8c + 7d

jolli1 [7]

<span>3c - 2cd - 8c + 7d
= -5c </span> - 2cd + 7d

hope it helps

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3 years ago

A crew must repave a road that is 3/8 miles long. They can repave 1/48 miles per hour. How long will it take the crew to repave

Anika [276]

Answer:

Step-by-step explanation:

3/8 miles long, 1/48 miles per hour

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3 years ago