Finding all Zeros and Multiplicities of a Polynomial (4.6.2)

Question 1

• A real zero, or root, is a point where a curve crosses or touches the x-axis.

Answer 1

• A real zero, or root, is a point where a curve crosses or touches the x-axis.

Question 2

• Multiplicity of a zero is the number of times the value is a solution for the polynomial.

Answer 2

• Multiplicity of a zero is the number of times the value is a solution for the polynomial.

Question 3

• A curve which just touches the x-axis, but doesn’t cross it, is said to have a zero at that point with multiplicity of two.

Answer 3

• A curve which just touches the x-axis, but doesn’t cross it, is said to have a zero at that point with multiplicity of two.