What is the remainder when the following polynomial division is performed? (y^4 – y^3 + 2y^2 + y – 1)/(y^3 + 1)

Mathematics

1 answer:

stellarik [79]3 years ago

7 0

Y4 - y3 + 2y2 + y - 1 over (y + 1) • (y2 - y + 1) <span>
</span>

You might be interested in

Jose works 30 hrs each week. At the end of 6 months (26weeks), he made $31,20. How much does Jose make per hour?

Ludmilka [50]

Answer:

Jose makes $4 per hour

Step-by-step explanation:

1. 30x26=780

2. 3120 divide by 780=4

6 0

3 years ago

What is 0.66666666666 as a fraction

stellarik [79]

To turn $0.(6)=0.6666...$ into a fraction you should do such steps:

1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .

2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by $10^n$ to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by $10^1 = 10$ . Thus, you have $10x = 10 \cdot 0.666...$ or $10x = 6.666....$ .

3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore, $10x-x=6.666...-0.666...\\ 9x=6$ .

4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction: $9x = 6$ . If you divide both sides by 9, you get $x=\dfrac{6}{9}$ . When simplified, you get that $x=\dfrac{2}{3}$ .