Enter an equation or problem

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Solution - Polynomial root calculator

x = 1

x=1

x = 2

x=2

x = 3

x=3

See steps Try this:

Step-by-step explanation

1. Normalize to P(x)=0

$x^{3} - 6 x^{2} + 11 x - 6 = 0$

$a_{n} = 1$

$a_{0} = - 6$

Rewrite the equation as a polynomial equal to zero.

2. Test candidate roots

Possible rational roots: -1, 1, -2, 2, -3, 3, -6, 6. Test each candidate and deflate when a root is found.

$f a c t o r s (| a_{0} |) = 1, 2, 3, 6$

$f a c t o r s (| a_{n} |) = 1$

$x = + / - p / q = - 1, 1, - 2, 2, - 3, 3, - 6, 6$

$P (- 1) = - 24$

$P (1) = 0$

$(x - 1) (x^{2} - 5 x + 6) = 0$

3. Solve the remaining factor

Solve the remaining polynomial using quadratic formula.

$x = 2, 3$

4. Collect all roots

All roots with multiplicity: x={1,2,3}.

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Terms and topics

Polynomial root calculator

Solution - Polynomial root calculator

Step-by-step explanation

1. Normalize to P(x)=0

2. Test candidate roots

3. Solve the remaining factor

4. Collect all roots

Why learn this

Terms and topics

Related links

Solution - Polynomial root calculator

Step-by-step explanation

1. Normalize to P(x)=0

2. Test candidate roots

3. Solve the remaining factor

4. Collect all roots

Why learn this

Terms and topics

Related links

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