What is the remainder in the synthetic division problem below? O A. 5
O B. 9
O O. 3
O D. 7

The answer is option D.

I hope it's what you require.

D) 7

Step-by-step explanation:

1  /   4      6        -3

               4        10      

       4      10       7

Step 1: Carry down the first number 4 as it is

Step 2:  Multiply 4 by 1 [4 * 1 = 4] and write down this 4 under the next number 6 and then add. 6 + 4 = 10

Step 3: Multiply 10 by 1 [10 * 1 = 10] and write down this 10 under the next number -3 and then add. -3 + 10 = 7

And now 7 is the remainder

i dont know i just need points

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4