1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex73 [517]
2 years ago
14

Find the factors of f(x) given that x = 5 is a zero.

Mathematics
1 answer:
77julia77 [94]2 years ago
8 0
  • If x = 5 is a zero of the given polynomial, then,
  • (x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
  • Now, divide the polynomial with (x - 5) using long division method. (See the picture)
  • We get (x^2 - x - 6) as the quotient.
  • Now, factorise the above polynomial:
  • (x^2 - x - 6)
  • = (x^2 - 3x + 2x - 6)
  • = x(x - 3) + 2(x - 3)
  • = (x - 3)(x + 2)
  • Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)

<u>Answer</u><u>:</u>

<u>B.</u><u>(x − 5)(x − 3)(x + 2)</u>

Hope you could get an idea from here.

Doubt clarification - use comment section.

You might be interested in
Is 3(x+2)-10=5x-6 one souliton
gulaghasi [49]

Answer:

one solution it is x=1

Step-by-step explanation:

i can type in the steps if you want

3 0
3 years ago
Read 2 more answers
Please help me!
Tamiku [17]
Check the picture below.

notice the sides, now, on the second triangle, side 6 slants a bit more to fit in 13, on the third triangle, side 6 slants even further to fit 13 in, now, if 6 were to slant completely, it'll make a flat-line with side 5, and there will be a triangle no more.

but even if side 6 would stretch to a flat-line, 5+6 is just 11, whilst side 13 is longer than that, so no dice.

4 0
3 years ago
One angle of an isosceles triangle measures 80°. Which other angles could be in that isosceles triangle?
ohaa [14]

Answer:

80 and 40 are the other angles

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If you sell 3 bags of candy, then 4 bags and finally 1 bag, how much is each bag if you collected $6.40?
mariarad [96]

Answer:

$51.2

Step-by-step explanation:

3 + 4 + 1 = 8

8 x 6.40 + 51.2

4 0
3 years ago
Read 2 more answers
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
devlian [24]

Answer:

The rocket will reach its maximum height after 6.13 seconds

Step-by-step explanation:

To find the time of the maximum height of the rocket differentiate the equation of the height with respect to the time and then equate the differentiation by 0 to find the time of the maximum height

∵ y is the height of the rocket after launch, x seconds

∵ y = -16x² + 196x + 126

- Differentiate y with respect to x

∴ y' = -16(2)x + 196

∴ y' = -32x + 196

- Equate y' by 0

∴ 0 = -32x + 196

- Add 32x to both sides

∴ 32x = 196

- Divide both sides by 32

∴ x = 6.125 seconds

- Round it to the nearest hundredth

∴ x = 6.13 seconds

∴ The rocket will reach its maximum height after 6.13 seconds

There is another solution you can find the vertex point (h , k) of the graph of the quadratic equation y = ax² + bx + c, where h = -\frac{b}{2a} and k is the value of y at x = h and k is the maximum/minimum value

∵ a = -16 , b = 196

∴ h=-\frac{196}{2(-16)}

∴ h = 6.125

∵ h is the value of x at the maximum height

∴ x = 6.125 seconds

- Round it to the nearest hundredth

∴ x = 6.13 seconds

4 0
3 years ago
Other questions:
  • What is the quotient when x^3 -5x^2 + 3x -8 is divided by x-3 ?
    7·1 answer
  • The length and width of a rectangle must add up to 78 feet. calculate the dimensions that will yield the maximum area (remember,
    5·1 answer
  • How do i do these? (do at least one please)
    10·1 answer
  • Someone help me with this Alegerbratic expression. Really hard 10 questions.
    12·1 answer
  • Different cereals are randomly selected and the sugar content in grams of sugar per grams of cereal are obtained. Use a .05 sign
    9·1 answer
  • Hi my question is what is ma name?​
    6·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3-4x%7D%20%3D%20%5Cfrac%7B5%7D%7B2x%2B.25%7D" id="TexFormula1" title="\frac{8
    7·1 answer
  • Is 9/2 and 4 1/2 equivalent​
    11·2 answers
  • Evaluate the expression: <br> -a^2 + c(a-c) - n^2 a= -3 c= -2 n= 3
    9·1 answer
  • If sin 22.6°=5/13, what is cos 67.4° ?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!