# Algebra

posted by .

Suppose f(x) is some polynomial such that x−45 is a factor of f(x) . What value of x must be a root of f(x)=0 ?

• Algebra -

Your question summarizes the whole concept of the factor theorem

x = 45

## Similar Questions

1. ### algebra 2

Factor completely with respect to the integers. 1. 9x^2 - 4 2. x^3 + 64 3. 200x^2 - 50 4. 8x^3 - 64 5. x^3 + x^2 + x + 1 6. x^3 - 2x^2 + 4x - 8 7. 2x^3 + 4x^2 + 4x + 8 8. 2x^3 + 3x^2 -32x - 48 9. 7x^3 + 14x^2 + 7x 10. 6x^3 - 18x^2 …
2. ### polynomials

i also have theses to solve Factor the polynomial x2 + 5x + 6 completely Solve the given equation by using the quadratic formula. x2 – 7x – 4 = 0 What value is under the square root (or radical) in your answer?
3. ### calc

A basic fact of algebra states that c is a root of a polynomial f(x) if and only if f(x) = (x-c)g(x) for some polynomial g(x). We say that c is a multiple root if f(x) = [(x-c)^2](h(x)) where h(x) is a polynomial. Show that c is a …
4. ### Math (algebra)

Suppose a and b are positive integers satisfying 1≤a≤31, 1≤b≤31 such that the polynomial P(x)=x^3−ax^2+a^2b^3x+9a^2b^2 has roots r, s, and t. Given that there exists a positive integer k such that (r+s)(s+t)(r+t)=k^2, …
5. ### Math (Algebra)

A number is called algebraic if there is a polynomial with rational coefficients for which the number is a root. For example,√2 is algebraic because it is a root of the polynomial x^2−2. The number √2+√3+√5 …

A number is called algebraic if there is a polynomial with rational coefficients for which the number is a root. For example, √2 is algebraic because it is a root of the polynomial x^2−2. The number √(2+√3+√5)is …
7. ### math

For every positive integer n, consider all monic polynomials f(x) with integer coefficients, such that for some real number a x(f(x+a)−f(x))=nf(x) Find the largest possible number of such polynomials f(x) for a fixed n<1000. …
8. ### Algebra Question~!

Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial?
9. ### algebra--1 question

Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial?
10. ### Math

Find the discriminant for the quadratic equation f(x) = 5x^2 - 2x + 7 and describe the nature of the roots. discriminant is 144, one real root discriminant is -136, two complex roots <--?

More Similar Questions