algebra 2

posted by .

What is the third–degree polynomial function such that f(0) = –18 and whose zeros are 1, 2, and 3

• algebra 2 -

The zeroes are 1, 2, and 3, so the factors are (x-1), (x-2), and (x-3). Those are 3 factors for a 3rd degree polynomial, so no other factors are needed.

f(x) = C*(x-1)(x-2)(x-3), where C is any constant.

f(0) = 18 allows you to determine C.

Similar Questions

1. Algebra 2

write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i
2. Math

Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros of the polynomial. Degree: 6 Zeros: -6 + 13i^3, -8 + s^2i, -3 - 4i
3. Pre Calculus

Find a third degree polynomial P(x) that has zeros at x=-1, x=1, x=2 and whose x-term has coefficient 3?

I have two questions that I don't understand and need help with. 1. information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zerosof f. degree 4, zeros i;9+i 2. form a polynomial f(x) with …
5. algebra URGENT HELP

form a polynomial whose degree and zeros are given. don't expand a) degree 3,zeros,-2,0,4 b)degree 4,zeros, -2 multiplicity 3,1 multiplicity 1 solutions a)p(x)= x(x+2)(x-4) B)p(x) =(x+2)^3(x-1)
6. Algebra

Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 5; zeros: 9, 3+5i, -9i
7. Algebra

Form a third degree polynomial function with real coefficients such that 2+i and -5 are zeros. f(x)= ?
8. Algebra

Determine a polynomial function of degree 3 with real coefficients whose zeros are ƒ{2, 1+i .
9. Algebra

Form a third degree polynomial function with real coefficients such that -7 + i and -9 are zeros
10. Pre cal

Fine a third degree polynomial function f(x) with real coefficients that has 4 and 2i are zeros and such that f(-1) =-50 4 21 -2i (x-4)(x-2i)(x+2i) (x-4)(x2+4) x3-16+4x-4x2 (x3-4x2+4x-16) -50=a(-1-4-4-16) -50=.25 a=2 Not understanding, …

More Similar Questions