freddiemarchant
freddiemarchant freddiemarchant
  • 01-07-2020
  • Mathematics
contestada

When x^3 + 2x^2 - 7x + a is divided by (x-2) the remainder is 4. Find the value of a. Please help

Respuesta :

jimrgrant1 jimrgrant1
  • 01-07-2020

Answer:

a = - 8

Step-by-step explanation:

A polynomial divided by factor (x - h) has a remainder given by f(h)

Here the divisor is (x - 2), thus f(2) gives the remainder, that is

2³ + 2(2)² - 7(2) + a = 4 ← 4 being the remainder

8 + 8 - 14 + a = 4, that is

12 + a = 4 ( subtract 12 from both sides )

a = - 8

Answer Link

Otras preguntas

25 POINTS!!! Please correctly answer the questions below. Choisis la meilleure réponse pour compléter la phrase suivante: Pendant le procès, un témoin a présent
we enjoyed the party​
¿Cuáles son las características gráficas de los reglamentos?
1.) What is the annual drug revenue of organized crime syndicates?​
HELP EASY- what is the power of a single voice
Andrew is planning to save allowance money for 20 years. In year one he saves $100, in year two he saves $120, in year three he saves $140, and so on. a) How m
A peanut was burned in a calorimeter filled with 70g of water. The temperature increased from 21°C to 87°C. How much heat was released by the peanut. The specif
So I need help because I'm honestly confused.This is like half of my math grade.How do you find the area of your shapes? (Triangle,Circles,Rectangles,Square,Po
Name two performing groups that present adaptations of foreign plays, primarily in English
Find the slope of the line that passes through the points (-3,5) and (3, 1).