# Math Algebra

posted by .

Find a polynomial p(x) with real coefficients having the given zeros.

6,-14, and 4+3i

• Math Algebra -

4-3i must also be a root, so we have

p(x) = (p-6)(p+14)(p-(4+3i))(p-(4-3i))
= (p-6)(p+14)((p-4)^2 + 3^2)
= (p-6)(p+14)(p^2-8p+25)
= p^4 - 123p^3 + 872p - 2100

• Math Algebra -

Perfect Thanks,

## Similar Questions

1. ### algebra 3

Find a polynomial of lowest degree with only real coefficients and having the given zeros. -2+i, -2-i, 3, -3
2. ### Algebra

Find the polynomial function P of the lowest possible degree, having real coefficients, with the given zeros. 3+2i, -2 and 1
3. ### college algebra

form a polynomial f(x) with real coefficients having the given degree and zeros degree 4 zeros 5+3i;3 multiplicity 2 enter the polynomial f(x)=a?

Form a polynomial f(x) with real coefficients having the given degree and zeros. degrees 5; zeros 1; -i; 7+i please show all work. I am having a hard time understanding this.
5. ### algebra

form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:-3 +5i; 2 multiplicity 2 enter the polynomial f(x)=a(?

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 …
7. ### College algebra

Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i f(x)=a( )
8. ### College Algebra

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i F(x)=a ( )
9. ### College Algebra! help!

Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -4; -i; -2+i f(x)=a( )
10. ### Algebra ll

Please help!! I do not understand any of this!! Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 2, multiplicity 2; 3i

More Similar Questions