How do you write a polynomial function in standard form with the zeroes x=3, -2,...

segnverd3a

segnverd3a

Answered

2022-01-29

How do you write a polynomial function in standard form with the zeroes x=3, -2, 1?

Answer & Explanation

Jude Carpenter

Jude Carpenter

Expert

2022-01-30Added 9 answers

f(x)=(x-3)(x+2)(x-1)
=(x2x6)(x1)
=(x2x6)x(x2x6)
=x32x25x+6
sjkuzy5

sjkuzy5

Expert

2022-01-31Added 11 answers

First, we should establish what it means to be a zero. If the function is "zero" at those values, that means that y= 0 at those specific values of x.
Think about what a factored function looks like. It usually is something like
f(x) = (x+2)(x-3) or something like that.
The zeros for the previous function are where (x - 2) = 0 or where (x + 3) = 0. Now we use this general idea with your given zeros.
f(x)=(x+2)(x-3)(x-1)
To make this function in standard form, we need to multiply it all out. I prefer to work with the two left parts first. FOIL them out to get:
f(x)=(x23x2x6)(x1)
Now multiply those together to get
f(x)=x3x2x2x+6x+6
Combining like terms again and we find the polynomial in standard form:
f(x)=x32x25x+6

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?