Polynomial functionsUnit 1

Finding real zeros by factoring

Factor the polynomial, then solve each factor equal to zero.

  • Take out a common factor first when one is present.
  • Use quadratic factorization or a supplied factor where appropriate.
  • Keep the zero root when taking out a factor of .

Example 1

Do not lose the zero root

Factor to find all real zeros.

Factor the expression.A zero product has at least one zero factor. Set each factor equal to zero and solve each equation.

Example 2

Factor to find all real zeros.

Factor the expression.Simplify the numerical terms and collect like terms.A zero product has at least one zero factor. Set each factor equal to zero and solve each equation.

Your turn

Question 1

Find all real solutions.

Check answer
Factor the expression.A zero product has at least one zero factor. Set each factor equal to zero and solve each equation.
Question 2

Find all real solutions.

Check answer
Factor the expression.A zero product has at least one zero factor. Set each factor equal to zero and solve each equation.
Question 3

Find all real solutions.

Check answer
Factor the expression.A zero product has at least one zero factor. Set each factor equal to zero and solve each equation.
Question 4

Find all real solutions.

Check answer
Factor the expression.A zero product has at least one zero factor. Set each factor equal to zero and solve each equation.
Question 5

Find all real solutions.

Check answer
Factor the expression.A zero product has at least one zero factor. Set each factor equal to zero and solve each equation.
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