Question

write a polynomial function in standard form with given zeros. X= -4,1

Answer 1

Greetings! To begin, can you show me what standard form looks like?

Answer 2

y=ax^2+bx+c

Answer 3

Excellent! Now the easiest method of doing this is by creating an equation in Factored form and then expanding it to Standard form. Do you follow?

Answer 4

Are you familiar with factored form?

Answer 5

Yes

Answer 6

Awesome!
So when the problem says zeroes, what they really mean is that the equation has roots or coordinates at (-4,0) and (1,0). Do you understand this part?

Answer 7

Are you able to create an equation in factored for where the x-intercepts are at -4 and 1?

Answer 8

yes

Answer 9

Please do so :)

Answer 10

I got to go,,,,Later

Answer 11

For when you log back on, the equation is:
y = (x + 4)(x - 1)
From here, use FOIL to expand and you've got your standard form!