heartbreakchris heartbreakchris

02-04-2020
Mathematics

contestada

Let p(x) = x3 – 5x2 + cx + 4. For what value of c is (x - 2) a factor of p(x)?

Respuesta :

Officialalehpeter Officialalehpeter

02-04-2020

Answer: 4

Step-by-step explanation:

P(x)= x3-5x2+cx+4

X-2 is a factor of p(x)

Let p(x)= 0

X-2=0

X=2

Substitute for x=2 in p(x)

0=2^3-5(2)^2+2c+4

0=8-5(4)+2c+4

0=8-20+2c+4

Collect like terms

-8+20-4=2c

8=2c

C=8/2

C=4

The value of C is 4

Answer Link

Otras preguntas

simplify the expression (5x^4 - 3x^3 + 6x) (3x^ + 11 x^2-8x)

A triangular prism has bases that are equilateral triangles. Which statements are true about the surface area of the triangular prism? Choose all that apply. A

40 dogs every 5 hours how may per hour

Bill had moved from Cleveland to Shanghai on a job assignment. Whenever someone came to his apartment door, Bill brought his three-year-old daughter, Natalie, t

Write a conclusion about the effects of the Cold War here. Your conclusion must be at least one paragraph (6 - 11 sentences) in length. ONLY

A relationship betheeen species in which one species benefits and the other is harmed is called

what is this excerpt most an example of? it was a kind of voice that the eye follows

one starts an higher dosage of medicine and starts having swallowing what should they do?

What limited industrial expansion in the South? a lack of an educated work force a lack of farm land a lack of natural resources a lack of a market f

Use the graphing method to solve the system of linear equations: y = -x + 3 and y = x - 1 A) (-1,2) B) (0,3) C) (1,0) D) (2,1) (AWNSWER GETS 80 POINTS)