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14) A family of cubic polynomials has roots of -2, -3 and -5. Find the member of this family that passes through the point (2,-35). What is this polynomials y-intercept?

14) A family of cubic polynomials has roots of -2, -3 and -5. Find the member of this family that passes through the point (2,-35). What is this polynomials y-intercept?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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14) A family of cubic polynomials has roots of -2, -3 and -5. Find the member of this family that passes through the point (2,-35). What is this polynomials y-intercept?
Transcribed Image Text:14) A family of cubic polynomials has roots of -2, -3 and -5. Find the member of this family that passes through the point (2,-35). What is this polynomials y-intercept?
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Hi! Can you explain this part please? How'd you get a457?

So, substituting, x = 2, and px = -35, in (1), we get -35 = a2 + 22 + 32 + 5 -35 = -35 = a a = = a457 140a -35 140 HI+ 4
Transcribed Image Text:So, substituting, x = 2, and px = -35, in (1), we get -35 = a2 + 22 + 32 + 5 -35 = -35 = a a = = a457 140a -35 140 HI+ 4
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