How to Solve Polynomials

Intermediate 15 min 13 steps 11189 views Rating: 4.8/5 Published: 2026-05-24

Determine whether you have a linear polynomial.. Set the equation to equal zero.. Isolate the variable term.

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Steps

1

Determine whether you have a linear polynomial.

Step 1

Determine whether you have a linear polynomial.

2

Set the equation to equal zero.

Step 2

Set the equation to equal zero.

3

Isolate the variable term.

Step 3

Isolate the variable term.

4

Solve for the variable.

Step 4

Solve for the variable.

5

Determine whether you have a quadratic polynomial.

Step 5

Determine whether you have a quadratic polynomial.

6

Make sure the polynomial is written in order of degree.

Step 6

Make sure the polynomial is written in order of degree.

7

Set the equation to equal zero.

Step 7

Set the equation to equal zero.

8

Rewrite the expression as a four-term expression.

Step 8

Rewrite the expression as a four-term expression.

9

Factor by grouping.

Step 9

Factor by grouping.

10

Factor the second group.

Step 10

Factor the second group.

11

Rewrite the polynomial as two binomials.

Step 11

Rewrite the polynomial as two binomials.

12

Find the first root, or solution.

Step 12

Find the first root, or solution.

13

Find the second root, or solution.

Step 13

Find the second root, or solution.

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