Suppose that the polynomial function f is defined as follows.f(x)=2x2(x−4)2(x+7)3List each zero of f according to its multiplicity in the categories below.If there is more than one answer for a multiplicity, separate them with commas. If there is no answer, click on "N"Zero(s) of multiplicity one: Zero(s) of multiplicity two: Zero(s) of multiplicity three:
Q. Suppose that the polynomial function f is defined as follows.f(x)=2x2(x−4)2(x+7)3List each zero of f according to its multiplicity in the categories below.If there is more than one answer for a multiplicity, separate them with commas. If there is no answer, click on "N"Zero(s) of multiplicity one: Zero(s) of multiplicity two: Zero(s) of multiplicity three:
Identify Zeros: Identify zeros from the polynomial f(x)=2x2(x−4)2(x+7)3.f(x)=0 when x=0, x=4, or x=−7.
Determine Multiplicity: Determine the multiplicity of each zero.x=0 appears in the term x2, so its multiplicity is 2.x=4 appears in the term (x−4)2, so its multiplicity is 2.x=−7 appears in the term (x+7)3, so its multiplicity is 3.
Categorize Zeros: Categorize zeros by their multiplicity.Zero(s) of multiplicity one: None.Zero(s) of multiplicity two: 0, 4.Zero(s) of multiplicity three: −7.