Complete the synthetic division problem below.−3∣12−23‾−3 ∣12−23 What is the quotient in polynomial form?A.x2 + x - 3B.x2 + x - 1C.x2 - x + 3D.x2 - x + 1
Question
Complete the synthetic division problem below.−3∣12−23‾−3 ∣12−23 What is the quotient in polynomial form?A.x2 + x - 3B.x2 + x - 1C.x2 - x + 3D.x2 - x + 1
Solution
The synthetic division problem is not fully specified in your question. However, I can show you how to solve a synthetic division problem using an example.
Let's say we want to divide the polynomial 12x^2 - 23x - 3 by x + 3. Here are the steps:
-
Write down the coefficients of the polynomial you're dividing (the dividend). In this case, the coefficients are 12, -23, and -3.
-
Write down the number you're dividing by, with the sign flipped. In this case, we're dividing by x + 3, so we write down -3.
-
Draw a line, and write the first coefficient (12) underneath it.
-
Multiply the number you just wrote down by the number you're dividing by (-3), and write the result under the next coefficient (-23). So, 12 * -3 = -36.
-
Add the numbers in this column (-23 + -36 = -59), and write the result underneath the line.
-
Repeat steps 4 and 5 for the rest of the coefficients. So
Similar Questions
What is the remainder when 3 is synthetically divided into the polynomial -x2 + 5x - 9?A.0B.-6C.-3D.5SUBMITarrow_backPREVIOUS
Using synthetic division ,the remainder of 3x²-2x+1 is divided by x-1is
When the polynomial x3 + 3x2 + 3x + 1 is divided by x + 1, the remainder is :-
Use synthetic division to find the quotient and remainder when x4 − 9x2 + 3x + 6 is divided by x − 3.
Question 5 of 10What is the remainder in the synthetic division problem below?1∣46−3‾1 ∣46−3 A.5B.9C.7D.3SUBMITarrow_backPREVIOUS
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.