Unit 3 test

Front

What is the factored form of the expression 8x^3 - 18x?

Back

2x(2x+3)(2x-3)

Front

How do you find the difference between two matrices A and B (B - A)?

Back

Subtract corresponding elements of A from B.

Front

What is the result of adding two matrices A and B (A + B)?

Back

Add corresponding elements of A and B.

Front

Simplify the expression (−2 + 7i)(4 − 2i).

Back

6 + 32i

Front

What is the simplified form of (8 - 3i)^2?

Back

55 - 48i

Front

Define a complex number.

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Front

What does it mean to factor an expression completely?

Back

To express the polynomial as a product of its factors, where no factor can be factored further.

Front

What is the difference between a prime number and a composite number?

Back

A prime number has exactly two distinct positive divisors: 1 and itself, while a composite number has more than two positive divisors.

Front

What is the formula for the difference of squares?

Back

The difference of squares is given by a^2 - b^2 = (a - b)(a + b).