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FactoredForm_Recap_post

# FactoredForm_Recap_post - of 2 the polynomial will have a...

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MHF 4U0 3.3 Characteristics of Polynomials in Factored Form RECAP of investigation The shape of a polynomial function depends on the multiplicity of the zeroes when the function is written in factored form. Consider the function: 2 ) 5 )( 3 ( 10 1 + - = x x y The zeroes of the polynomial function occur when x – 3 = 0 and ( x + 5) 2 = 0 x = 3 x = –5 Since the factor ( x – 3) has a multiplicity of 1, the polynomial will be linear at this x -intercept. Since the factor ( x + 5) has a multiplicity
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Unformatted text preview: of 2, the polynomial will have a parabolic shape at this x-intercept. Consider the function 3 ) 6 )( 4 ( +--= x x y . The zeroes of the polynomial function occur when x – 4 = 0 and ( x + 6) 3 = 0 x = 4 x = –6 Since the factor ( x – 4) has a multiplicity of 1, the polynomial will be linear at this x-intercept. Since the factor ( x + 6) has a multiplicity of 3, the polynomial will have a cubic shape at this x-intercept....
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