x2 + x + 6 | |
x - 0 |
Determine our root divisor:
Solve the divisor equation x + 0 = 0Subtract 0 from each side of the equation to get
x + 0 - 0 = 0 - 0
Therefore, our root becomes x = 0
1 | 1 | 6 | |
0 | |||
1 | 1 | 6 | |
0 | ↓ | ||
1 |
Multiply our root 0 by 1
Take 0 and put that in column 2:
1 | 1 | 6 | |
0 | 0 | ||
1 |
Put this in the answer column 2:
1 | 1 | 6 | |
0 | 0 | ||
1 | 1 |
Multiply our root 0 by 1
Take 0 and put that in column 3:
1 | 1 | 6 | |
0 | 0 | 0 | |
1 | 1 |
Put this in the answer column 3:
1 | 1 | 6 | |
0 | 0 | 0 | |
1 | 1 | 6 |
Leading Answer Term = x(2 - 1) = x1
Build remainder
The last number in our result 6 ≠ 0Our answer will have a remainder.
Remainder = 6 / (x - 0)
Answer = |
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How does the Synthetic Division Calculator work?
Free Synthetic Division Calculator - Using Ruffinis Rule, this performs synthetic division by dividing a polynomial with a maximum degree of 6 by a term (x ± c) where c is a constant root using the factor theorem. The calculator returns a quotient answer that includes a remainder if applicable. Also known as the Rational Zero Theorem
This calculator has 1 input.
What 3 formulas are used for the Synthetic Division Calculator?
For x + a, our root is -1 * aWrite down our coefficients horizontally and our root of a to the left
Multiply root by last result and repeat process
For more math formulas, check out our Formula Dossier
What 4 concepts are covered in the Synthetic Division Calculator?
divisionseparate a number into partspolynomialan expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).ruffinis rulean efficient method of dividing a polynomial by a linear factor, with or without a remainder. synthetic divisiona shorthand method for dividing a polynomial by a linear factorSynthetic Division Calculator Video
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