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Polynomial Synthetic Division Calculator

Divides a polynomial by a linear factor (x − r) using synthetic division, returning the quotient coefficients and remainder. Use it to quickly test roots or factor higher-degree polynomials without long division.

Highest Degree Coefficient

Second Highest Coefficient

Third Coefficient

Constant Term

Divisor Root (for x - r)

Fill in the required fields to see your result.

Algebra

Quadratic Expression Factoring Calculator

Factors any quadratic expression ax² + bx + c into two linear factors. Use it when solving equations, simplifying fractions, or checking roots without manual trial and error.

Coefficient of x² (a)

Coefficient of x (b)

Constant term (c)

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Key differences

	Polynomial Synthetic Division Calculator	Quadratic Expression Factoring Calculator
Category	Algebra	Algebra
Inputs required	5	3
Result	Remainder	Discriminant (Δ)
What it does	Divides a polynomial by a linear factor (x − r) using synthetic division, returning the quotient coefficients and remainder. Use it to quickly test roots or factor higher-degree polynomials without long division.	Factors any quadratic expression ax² + bx + c into two linear factors. Use it when solving equations, simplifying fractions, or checking roots without manual trial and error.