Writing Equations Given Roots

Front

Equation of the quadratic with roots -4 and -2.

Back

x²+6x+8

Front

Do all imaginary roots come in pairs?

Back

True

Front

Write the polynomial in standard form given the following zeros: x = -2, 1, 4.

Back

f(x) =x³ - 3x² - 6x + 8

Front

Root with 3i? Options: 3i², -3i, 3i, -3i²

Back

-3i

Front

Correct factored form with roots 2, 5i, and 6?

Back

(x-6)(x-2)(x+5i)(x-5i)

Front

If a+bi is a root of a polynomial, then _______ is also a root.

Back

a-bi

Front

Write a polynomial function of least degree with integral coefficients that has the given zeros.

Back

A

Front

Find a polynomial function of degree 3 with zeros 3i and -2. Options: P(x) = x³+2x²+9x+11, P(x) = x³-2x²+9x+18, P(x) = x³+2x²+9x+18, P(x) = x²-3ix+2x-6i

Back

P(x) = x³+2x²+9x+18

Front

Write the polynomial with the given zeros: A, B, C, D

Back

A

Front

Write a polynomial function of least degree with integral coefficients that has the given zeros: -1, 5, -3+2i.

Back

x⁴+2x³-16x²-82x-65