All categories

3 years ago

Is (x+7) a factor of f(x) x3-3x2+ 2x-8?

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

3 0

Answer:

(x+7) is not a factor

Step-by-step explanation:

we know that

If (x+7) is a factor of f(x)

then

For $x=-7, f(-7)=0$

Verify

we have

$f(x)=x^{3}-3x^{2} +2x-8$

Substitute x=-7

$f(-7)=(-7)^{3}-3(-7)^{2} +2(-7)-8$

$f(-7)=-343-147 -14-8$

$f(-7)=--512$

$-512\neq 0$

therefore

(x+7) is not a factor

You might be interested in

A recipe that serves 8 people requires 1 and one fourth cups of sugar. Using this recipe, how many cups of sugar are needed to

docker41 [41]

Answer:

3 1/8 or 3.125.

Step-by-step explanation:

First you would change 1 1/4 to 5/4. Then you would make a proportion of 5/4 or I like to use decimals, 1.25, over 8. Your proportion would look like: 1.25/8 = x/20. Then cross multiply 1.25 and 20 then divide your product by 8. Your final answer is 3.125 or 3 1/8. Hope this helps!

4 0

3 years ago

Find m AEB<br> 66.5<br> 133<br> 266<br> 227

Sergeu [11.5K]

Answer:

The measure of arc AEB is $266\°$

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

$133\°=\frac{1}{2}(arc\ AEB)$

$arc\ AEB=2*133\°=266\°$

3 0

3 years ago

Find the smallest integer n for an O(xn) estimate of order of the function f(x)

alexdok [17]

Answer with explanation:

$f(x)=\frac{(x^3+x^2+5)(x^4-3x^2)}{(2x^2+2x-3)(4x^2+7)}\\\\f(x)=\frac{x^3\times (x^4-3x^2)+x^2 \times (x^4-3x^2)+5 \times (x^4-3x^2)}{2x^2\times (4x^2+7)+2x(4x^2+7)-3\times (4x^2+7)}\\\\f(x)=\frac{x^7-3x^5+x^6-3x^4+5x^4-15x^2}{8x^4+14x^2+8x^3+14 x-12x^2-21}\\\\f(x)=\frac{x^7+x^6-3x^5+2x^4-15x^2}{8x^4+8x^3+2x^2+14 x-21}$

The largest degree of numerator is 7 , while the largest degree of denominator is 4.So, as we know

$\frac{x^a}{x^b}=x^{a-b}\\\\\frac{x^7}{x^4}=x^{7-4}\\\\=x^3$

→So, order of the function is the highest degree in the function raised to power.Highest degree is 3,when you will reduce the function in Expression form.

So, Degree=3

Order=1

6 0

3 years ago

Shilo is trying to compute the value of 27 + 55 + 13. She adds 27 + 13 to get 40, and then adds on 55. Which of the following pr

kodGreya [7K]

The answer should be A

5 0

3 years ago

Which is part of the process in the formation of hail pellets? They are tossed up and down in clouds. They lose layers of ice an

kondaur [170]

Answer:

they are tossed up and down in clouds

3 0

2 years ago