Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Divide. If there is a remainder, include it as a simplified fraction.\newline(9h3+21h2+15h)÷3h(-9h^3 + 21h^2 + 15h) \div 3h

Full solution

Q. Divide. If there is a remainder, include it as a simplified fraction.\newline(9h3+21h2+15h)÷3h(-9h^3 + 21h^2 + 15h) \div 3h
  1. Separate and Divide: We have the expression (9h3+21h2+15h)÷3h(-9h^3 + 21h^2 + 15h) \div 3h. To divide, we will separate the expression into individual terms and divide each by 3h3h.\newline(9h3+21h2+15h)÷3h=9h33h+21h23h+15h3h(-9h^3 + 21h^2 + 15h) \div 3h = \frac{-9h^3}{3h} + \frac{21h^2}{3h} + \frac{15h}{3h}
  2. Divide First Term: Now let's divide the first term: (9h3)/(3h)(-9h^3)/(3h).(9h3)/(3h)=9/3×h3/h=3h2(-9h^3)/(3h) = -9/3 \times h^3/h = -3h^2
  3. Divide Second Term: Next, we divide the second term: (21h2)/(3h)(21h^2)/(3h).(21h2)/(3h)=21/3×h2/h=7h(21h^2)/(3h) = 21/3 \times h^2/h = 7h
  4. Divide Third Term: Finally, we divide the third term: (15h)/(3h)(15h)/(3h).(15h)/(3h)=15/3×h/h=5(15h)/(3h) = 15/3 \times h/h = 5
  5. Combine Results: Combining the results from the three divisions, we get: (9h3+21h2+15h)÷3h=3h2+7h+5(-9h^3 + 21h^2 + 15h) \div 3h = -3h^2 + 7h + 5

More problems from Divide polynomials by monomials