whimsypandayt whimsypandayt
  • 23-03-2021
  • Mathematics
contestada

Given a polynomial f(x), if (x − 4) is a factor, what else must be true? f(0) = 4 f(0) = −4 f(4) = 0 f(−4) = 0

Respuesta :

AlexanderTheGreat41 AlexanderTheGreat41
  • 23-03-2021

Question:

Given a polynomial f(x), if (x − 4) is a factor, what else must be true?

  • f(0) = 4
  • f(0) = −4
  • f(4) = 0
  • f(−4) = 0

_______________________________________

Solution:

f(x) is a polynomial.

(x - 4) is a polynomial of f(x).

By converse of factor theorem: If (x - a) is a factor of f(x), then, f(a) = 0.

On comparing (x - 4) with (x - a), we get,

  • a = 4

So,

f(a) = 0

=> f(4) = 0

Answer Link

Otras preguntas

x4/3 − 8x2/3 + 15 = 0
Find the circumference of a circle with a diameter of 6 cm. Leave your answer in terms of pie
How does the momentum of a dog and a horse, which are both running at the same velocity, compare?
Sarah is starting a new job. The first payment is $300 and every book sold she gets $5 per book. The second payment is $450 and $2 per book sold. How many books
Smallest to largest: biome,population,organism,ecosystem,community
NEED HELP QUICKLY!! I only need help with d! I have a-c and I know that the two lines intersect at (1,5) , but I don't know how to prove it with the substitutio
Help I gonna die help me please
Help me pls and show me how u did it their is no graph so how would I do this algebraically
Which phenomena did Michael Faraday explore to help him invent the motor and the generator? motion and magnetism motion and light electricity and motion electri
please check my answer