Respuesta :
Answer: 3x + 2) 12x� + 20x� + 11x + 2
Divide the first term 12x� by 3x: %2812x%5E3%29%2F%283x%29=4x%5E2
and write 4x� above the 20x�:
4x�__________
3x + 2) 12x� + 20x� + 11x + 2
Multiply the 4x� by the (3x + 2) getting 4x%5E2%283x%2B2%29=12x%5E3%2B8x%5E2 and
write it under the first two terms and draw a line underneath:
4x�__________
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
Subtract %2812x%5E3%2B20x%5E2%29-%2812x%5E3%2B8x%5E2%29=12x%5E3%2B20x%5E2-12x%5E3-8x%5E2=12x%5E2,
and write 12x� under the line under 8x�, like this:
4x�__________
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x�
Now bring down the next term + llx and write in next to the 12x�
4x�__________
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
Divide the first term on the bottom 12x� by 3x: %2812x%5E2%29%2F%283x%29=4x
and write + 4x above the 11x at the top, like this:
4x� + 4x____
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
Multiply the 4x by the (3x + 2) getting 4x%283x%2B2%29=12x%5E2%2B8x and
write it under the first two terms and draw a line underneath:
4x� + 4x____
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
12x� + 8x
Subtract %2812x%5E2%2B11x%29-%2812x%5E2%2B8x%29=12x%5E2%2B11x-12x%5E2-8x=3x,
and write 3x under the line under 8x, like this:
4x� + 4x____
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
12x� + 8x
3x
Now bring down the last term + 2 and write in next to the 3x
4x� + 4x____
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
12x� + 8x
3x + 2
Divide the first term on the bottom 3x by the 3x at the left:
%283x%29%2F%283x%29=1 and write + 1 above the + 2 at the top,
like this:
4x� + 4x + 1
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
12x� + 8x
3x + 2
Multiply the + 1 by the (3x + 2) getting 1%283x%2B2%29=3x%2B2 and
write it under the two terms at the bottom and draw a line
underneath:
4x� + 4x + 1
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
12x� + 8x
3x + 2
3x + 2
Subtract %283x%2B2%29-%283x%2B2%29=3x-3x=0,
and write 0 under the line under 2, like this:
4x� + 4x + 1
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
12x� + 8x
3x + 2
3x + 2
0
Now you are done and the answer is 4x%5E2%2B4x%2B1 and
since the remainder is 0 you do not have to put it over
the divisor 3x+%2B+2 and add it on like you do when
the remainder is not 0.
Step-by-step explanation:
