Answer:
Step-by-step explanation:
. Here's how we do it:
1. Write down the coefficients of the polynomial. For h(u) = 16u^5 - 40u^4 - 21u^3 - 12u^2 + 30, the coefficients are 16, -40, -21, -12, 0, 30. I added a 0 for the missing u term.
2. Write the number we're dividing by, which is 3, on the left.
3. Bring down the first coefficient, which is 16. Multiply it by 3, we get 48.
4. Add this to the next coefficient, -40, to get 8. Multiply this by 3, we get 24.
5. Repeat this process: add 24 to -21 to get 3, multiply by 3 to get 9. Add 9 to -12 to get -3, multiply by 3 to get -9. Add -9 to 0 to get -9, multiply by 3 to get -27. Finally, add -27 to 30 to get 3.
So, if i have done everything right, h(3) should be 3.
