Operations with Polynomials and Complex Numbers

Front

What is the sum of (5-2i) + (-7+8i)?

Back

-2 + 6i

Front

Simplify: -3 + 6i - (-5 - 3i) - 8i

Back

2 + i

Front

How do you write a complex number?

Back

a + bi

Front

What is the result of (1-7i)^2?

Back

-48 - 14i

Front

Simplify: (2x^2 - 3x)(5x^2 - x - 7)

Back

10x^4 - 17x^3 - 11x^2 + 21x

Front

What is the definition of a polynomial?

Back

A polynomial is an expression consisting of variables and coefficients, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

Front

What is the degree of the polynomial 4x^3 - 2x^2 + 7?

Back

3

Front

What is the conjugate of a complex number a + bi?

Back

a - bi

Front

How do you add complex numbers?

Back

Add the real parts and the imaginary parts separately.

Front

What is the product of (a + bi)(a - bi)?

Back

a^2 + b^2