![Fuunn326](/avatars/39157.jpg)
Fuunn326
27.06.2019 •
Mathematics
What is the value of the remainder if 10x^4 – 6x^3 + 5x^2 – x + 1 is divided by x – 3?
Solved
Show answers
More tips
- A Animals and plants How to Teach Your Parrot to Talk?...
- F Family and Home How to Remove Fading from Clothes: Tips and Tricks...
- F Food and Cooking How to Make Polendwitsa at Home?...
- F Family and Home Parents or Environment: Who Has the Most Influence on a Child s Upbringing?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
Answers on questions: Mathematics
- M Mathematics Bao already measured one of the blue petals. Its central angle is 50 degrees. We need to find the angles of the other petals. All of the blue petals are the same size....
- M Mathematics What is the answer of this...
- M Mathematics Which of the following is true about the function below? 1√x-6 please help asap!!...
- M Mathematics If the temperature at 7:00 am was - 7 degrees C and the temperature rose 8 degrees C during the morning, what was the temperature by noon?...
- M Mathematics What are the x-intercepts of the graphed function?...
- M Mathematics 1. Camila drove her car at a constant rate. These are the time (h), in hours, 20 points and the vistance in miles (m), that Camila drove (3h, 135m) (5h, 225m) (7h, 315m)....
- M Mathematics What is the answer to 3=a(1) + 6(1)+c...
- M Mathematics Cheyenne is playing a board game. Her score was −140 at the start of her turn, and at the end of her turn her score was −360. What was the change in Cheyenne s score from...
- M Mathematics If E is the circumcenter of △MNP find NE. 5.2.6 Question 6 options: 28 24.2 5 37 Question 7 (1 point) If C is the incenter of △AMD, m∠AMC = (3X + 6)° and m∠DMC = (8x −...
- M Mathematics Use the drop-down menus to complete each statement. The function has the same amplitude as the function y = cos(x – 4) + 1. The function is a translation of the parent...
Ответ:
691
Step-by-step explanation:
There are 3 different ways to find the remainder. I am not sure which method you are supposed to use, so I will solve using all 3 methods.
Long Division:
10x³ + 24x² + 77x + 230
x - 3 ) 10x⁴ - 6x³ + 5x² - x + 1
- (10x⁴ - 30x³) ↓ ↓ ↓
24x³ + 5x² ↓ ↓
- (24x³ - 72x²) ↓ ↓
77x² - x ↓
- (77x² - 231x) ↓
230x + 1
- (230x - 690)
691 ← remainder
Synthetic Division:
x - 3 = 0 ⇒ x = 3
3 | 10 -6 5 -1 1
| ↓ 30 72 231 690
10 24 77 230 691 ← remainder
Remainder Theorem:
f(x) = 10x⁴ - 6x³ + 5x² - x + 1
f(3) = 10(3)⁴ - 6(3)³ + 5(3)² - (3) + 1
= 810 - 162 + 45 - 3 + 1
= 691
Ответ:
720 degrees is the answer.