NY,NY
  • NY,NY
Write an equation of a polynomial function, which satisfies the given conditions. (Draw a graph.) Degree = 3. Zeros are -5, 0, 5. Passes through (2,21)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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tkhunny
  • tkhunny
Try this one... Write an equation of a polynomial function, which satisfies the given conditions. Degree = 1. Zero is 5. Passes through (2,21)
NY,NY
  • NY,NY
y2-y1/x2-x1 21-0/2-5 21/-3 -7 0 = -7(5) + b 0 = -35 + b 35 = b y = -7x+35 @tkhunny
anonymous
  • anonymous
y = a(x - p)(x - q)(x - r) , where p, q, and r are the zeros to get \[y = ax(x + 5)(x - 5)\] Plug in the point to solve for \(a\)

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NY,NY
  • NY,NY
Which point? @peachpi
anonymous
  • anonymous
(2,21)
NY,NY
  • NY,NY
21 = a (2)(2+5)(2-5) 21 = 2a (7) (-3) 21 = 2a (-21) 21 = -42a 21/-42 = a a=-.5
anonymous
  • anonymous
yes that's right, so just replace a with -0.5 to complete your function
NY,NY
  • NY,NY
y=-.5x(x+5)(x−5)
anonymous
  • anonymous
yep
NY,NY
  • NY,NY
I have a question.
anonymous
  • anonymous
what is it?
NY,NY
  • NY,NY
Nevermind, I understand. :p Thank you.
anonymous
  • anonymous
ok. you're welcome

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