Question

Please Help Me!!! Will give medals!

How can polynomial functions be written when given the zero? I learn better with examples..

Answer 1

@campbell_st please help

Answer 2

well if you know the zeros then

if
x = b and x = c are zeros

then the factors are

x - b and x - c

so the polynomial can be written as

P(x) =a(x - b)(x -c)

the value of a is just a multiplier...

e.g

if x = 2 and x = -4 are zeros find the polynomial and the point (1, -10) is on the curve
then
P(x) = a(x-2)(x + 4)


\[P(x) = a(x^2 +2x -8)\]

so substitute x = 1 and P(x) = -10 to find the value of a

then a = 2

so the polynomial is

\[P(x) = 2(x^2 +2x - 8)\]

hope it helps

Answer 3

thanks it did.