How do you find the quotient of #(4y^2+8y+3)div(y+2)# using long division?

Answer 1

The remainder is #=3# and the quotient is #=4y#

We perform the long division

#color(white)(aaaa)##4y^2+8y+3##color(white)(aaaa)##|##y+2#
#color(white)(aaaa)##4y^2+8y##color(white)(aaaaaaa)##|##4y#
#color(white)(aaaaaa)##0+0+3#
The remainder is #=3# and the quotient is #=4y#
#(4y^2+8y+3)/(y+2)=4y+3/(y+2)#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To find the quotient of (4y^2+8y+3) divided by (y+2) using long division, follow these steps:

  1. Divide the first term of the dividend (4y^2) by the first term of the divisor (y). The result is 4y.
  2. Multiply the entire divisor (y+2) by the quotient obtained in step 1 (4y). The result is 4y^2+8y.
  3. Subtract the product obtained in step 2 from the dividend (4y^2+8y+3) to get the remainder. The remainder is -5y+3.
  4. Bring down the next term from the dividend (-5y) and divide it by the first term of the divisor (y). The result is -5.
  5. Multiply the entire divisor (y+2) by the quotient obtained in step 4 (-5). The result is -5y-10.
  6. Subtract the product obtained in step 5 from the remainder (-5y+3) to get the new remainder. The new remainder is 13.
  7. Since there are no more terms to bring down, the division is complete.
  8. The quotient is the sum of the quotients obtained in steps 1 and 4. Therefore, the quotient is 4y-5.

The quotient of (4y^2+8y+3) divided by (y+2) using long division is 4y-5.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7