Question

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)

Answer 1

Try this one...

Write an equation of a polynomial function, which satisfies the given conditions.

Degree = 1. Zero is 5. Passes through (2,21)

Answer 2

y2-y1/x2-x1
21-0/2-5
21/-3
-7

0 = -7(5) + b
0 = -35 + b
35 = b

y = -7x+35

@tkhunny

Answer 3

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 \(a\)

Answer 4

Which point? @peachpi

Answer 5

(2,21)

Answer 6

21 = a (2)(2+5)(2-5)
21 = 2a (7) (-3)
21 = 2a (-21)
21 = -42a
21/-42 = a
a=-.5

Answer 7

yes that's right, so just replace a with -0.5 to complete your function

Answer 8

y=-.5x(x+5)(x−5)

Answer 9

yep

Answer 10

I have a question.

Answer 11

what is it?

Answer 12

Nevermind, I understand. :p Thank you.

Answer 13

ok. you're welcome