Answer: 691
<u>Step-by-step explanation:</u>
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:
<u> 10x³ + 24x² + 77x + 230 </u>
x - 3 ) 10x⁴ - 6x³ + 5x² - x + 1
- <u>(10x⁴ - 30x³) </u> ↓ ↓ ↓
24x³ + 5x² ↓ ↓
- <u>(24x³ - 72x²) </u> ↓ ↓
77x² - x ↓
- <u>(77x² - 231x) </u> ↓
230x + 1
- <u>(230x - 690)</u>
691 ← remainder
Synthetic Division:
x - 3 = 0 ⇒ x = 3
3 | 10 -6 5 -1 1
|<u> ↓ 30 72 231 690</u>
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
Steps
1. Know what the unit circle is...
2. Know the 6 trig ratios...
3. Understand what a radian is...
4. Be able to convert between radians and degrees...
5. Know the "special" angles...
6. Know and memorize the trig identities that give the 6 trig function angle...
7. Find and memorize the 6 trig functions for angles on the axes.
I hoped i help! :) have a fabulous day!
Answer:
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Step-by-step explanation:
7 x 6 = 42 divided by 2 21 + 7 x 5 = 35 divided by 2 = 17.5 + 10 x 7 = 70 = 108.5
Since 100=25×4. We simply multiply 21×4= 84%
Answer: Austin answered 84% of the questions.
Hope this helps! :)