Simplify: (3x + 2) + (5x - 4)
Hint: Combine like terms: 3x + 5x and 2 + (-4)
Simplify: (4x² + 3x) + (2x² - 5x)
Hint: Combine like terms: 4x² + 2x² and 3x + (-5x)
Simplify: (7x - 3) - (2x + 4)
Hint: Distribute the negative: 7x - 3 - 2x - 4
Simplify: (3x² + x - 5) - (x² - 2x + 1)
Hint: Distribute the negative, then combine like terms
Expand: 3x(x + 4)
Hint: Multiply 3x by each term inside the parentheses
Expand: (x + 2)(x + 3)
Hint: Use FOIL: First, Outer, Inner, Last
Expand: (x - 4)(x + 4)
Hint: Difference of squares: (a - b)(a + b) = a² - b²
Expand: (2x + 1)(x - 3)
Hint: FOIL: 2x·x + 2x·(-3) + 1·x + 1·(-3)
Expand: (x + 5)²
Hint: Perfect square: (a + b)² = a² + 2ab + b²
Expand: (x - 3)²
Hint: Perfect square: (a - b)² = a² - 2ab + b²
What is the degree of a polynomial?
What does the Fundamental Theorem of Algebra state?
How many roots (counting multiplicity) does a polynomial of degree n have?
What is synthetic division used for?
What does the Remainder Theorem state?
What is the Factor Theorem?
What is the imaginary unit i equal to?
What is i² equal to?