Question

The fourth degree polynomial x^4-5x^3+5x^2+5x-6 has four different zeros. If two of the zeros are 1 and 2, what are the other two zeros?

Answer #1

a. Find a polynomial of the specified degree that has the given
zeros.
Degree 3; zeros −5, 5, 7
b. Find a polynomial of the specified degree that satisfies the
given conditions.
Degree 4; zeros −4, 0, 1,
5; coefficient of
x3 is 4

Find a polynomial of degree 4 that has zeros of 1, 2, and
1+i

form a polynomial F(x) with real coefficients having the given
degree and zeros
degree 4
zeros 2-3i; -3 multiplicity 2

Form a polynomial f(x) with the real coefficients having the given
degree and zeros
Degree 4; zeros: -1,2 and 1-2i

Find a polynomial of the specified degree that satisfies the
given conditions.
Degree 4; zeros −3, 0, 1,
5; coefficient of x3 is
6

Form a polynomial f(x) with real coefficients having the given
degree and zeros.
Degree 4;
zeros:-5+3i, -4 multiplicity 2
please show all steps and explain

Find a polynomial f (x) of degree 4 with real coefficients and
the following zeros.
4 (multiplicity 2) , i
f(x)=

Find a polynomial P(x) with real coefficients having a degree
4, leading coefficient 4, and zeros 2-i and 3i.

Find all zeros of the polynomial function given
below.5x^5-51x^4+155x^3-229x^2+540x-100

Give a polynomial of degree 3that has zeros of 18, 10i,
and ?10i, and has a value of ?3434 when x =1.
Write the polynomial in standard form
ax^n+bx^n?1+….

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