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
yanalaym [24]
3 years ago
13

Write a polynomial in standard form with the zeros -4,0, 1, and 4.

Mathematics
1 answer:
gavmur [86]3 years ago
8 0

Answer: x^4-x^3-16x^2+16x

Step-by-step explanation:

Factor theorem : If x=a is a zero of a polynomial p(x) then (x-a) is a factor of p(x).

Given: Zeroes of polynomial : -4,0, 1, and 4.

Then Factors = (x-(-4)), (x-0), (x-1) and (x-4)   [By factor theorem ]

=(x+4), (x-0), (x-1) and (x-4)

Multiplying these factors to get polynomial in standard form.

(x+4)\times(x-0)\times(x-1)\times(x-4)  \\\\= x(x+4)(x-4)(x-1)\\\\= x(x^2-4^2)(x-1)\\\\= x(x^2-16)(x-1)\\\\= x(x^2-16)(x-1)\\\\=x(x^2x+x^2\left(-1\right)+\left(-16\right)x+\left(-16\right)\left(-1\right))\\\\= x(x^3-x^2-16x+16)\\\\=x^4-x^3-16x^2+16x

Hence, B is the correct option.

You might be interested in
Math question down below screen shot
inna [77]

Answer:

the screen shoy isnt showing up

Step-by-step explanation:

7 0
3 years ago
Zach is having a birthday party at an amusement park. Tickets cost $28 each, but Zach's mom has a coupon for half-off. Both of Z
evablogger [386]

Answer:

A) $140

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Factorise <br> a) (2+2) a) x2 -11x + 28 <br><br> b) 6x2 -5x – 4
Serga [27]

Answer:

6264

Step-by-step explanation:

(2+2)×2-11×+28 6×2

= 6264

3 0
2 years ago
Read 2 more answers
Ms. Cleary runs a catering business. She is buying fruit to make a large order for fruit salad. She buys 5 3/10 pounds of apples
Alchen [17]

Answer:

19 1/2

Step-by-step explanation:

8 0
3 years ago
How many zeros are in the simplified expression 4x10^=40^
vivado [14]

Answer:

i think its 1 or 2 idk

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Which values from the specified set make up the solution set of the inequality?
    14·1 answer
  • You can model the entrance to a mine shaft using the equation
    11·2 answers
  • How do I make 7 x 2 + 5 =x a 2 step equation
    7·1 answer
  • PLZ HELP ME!!!<br><br> which expression represents the area of the storage facility in square feet?
    8·1 answer
  • Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (
    10·2 answers
  • If d=9cm, find the circumference
    12·2 answers
  • Kareem heats a beaker of water to a boil. Then he records that the water temperature decreases from 100°C to 19°C in 5 and 2/5 m
    9·1 answer
  • Write a linear expression in simplest form to represent the perimeter of the triangle.
    6·1 answer
  • Please help easy maths
    12·2 answers
  • Find the area of the figure. Use 3.14 for π.<br><br> The area of the figure is __ft2.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!