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Pearson Algebra 2 Common Core, 2011 View details

Chapter Review

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Exercise 17 Page 348

We say that b is a zero of multiplicity n when (x-b) appears n times as a factor of a polynomial.

Zero of Multiplicity 2: - 2 and 2

Practice makes perfect

We want to determine the zeros of the given polynomial function as well as their multiplicity. We say that b is a zero of multiplicity n when (x- b) appears n times as a factor of a polynomial. Let's rewrite the given function in order to find the zeros.

y=x^4-8x^2+16

▼

Factor the trinomial

SplitIntoFactors

Split into factors

y=x^4-2(x^2)(4)+16

SplitIntoFactors

Split into factors

y=x^(2* 2)-2(x^2)(4)+16

ProdInExponent

a^(m* n)=(a^m)^n

y=(x^2)^2-2(x^2)(4)+4^2