Homework

Problem 1 · easy

State the degree of: 5x^4 - 3x^2 + 7x - 1.

Problem 2 · easy

Add: (4x^2 - 3x + 5) + (2x^2 + x - 8)

Problem 3 · easy

Subtract: (5x^2 + 2x - 3) - (3x^2 - x + 7)

Problem 4 · easy

Simplify: (2x^3)(3x^4)

Problem 5 · easy

Simplify: (-4x^2y)(3xy^3)

Problem 6 · easy

Expand: 3x^2(4x - 5y + 2)

Problem 7 · easy

Expand using FOIL: (x + 6)(x - 2)

Problem 8 · medium

Expand using FOIL: (3x - 4)(2x + 5)

Problem 9 · easy

Expand: (x + 5)^2

Problem 10 · medium

Expand: (2x - 3)^2

Problem 11 · easy

Expand: (x + 7)(x - 7)

Problem 12 · easy

Expand: (4x + 3)(4x - 3)

Problem 13 · medium

Expand: (x + 1)(x^2 - x + 1)

Problem 14 · medium

Expand: (2x - 1)(3x^2 + x - 4)

Problem 15 · medium

Divide: (12x^3 - 6x^2 + 9x) / 3x

Problem 16 · medium

Divide: (20x^4y^2 - 15x^2y^3) / 5x^2y

Problem 17 · medium

Divide using long division: (x^2 + 7x + 10) / (x + 2)

Problem 18 · medium

Divide using long division: (2x^2 - 5x - 3) / (x - 3)

Problem 19 · medium

Simplify: (x^3)^2 / x^4

Problem 20 · medium

Expand: (3x + 2y)^2

Problem 21 · challenge

Expand: (x - y)(x^2 + xy + y^2)

Problem 22 · medium

Simplify: (2x^2 - 3x + 1) + 3(x^2 + 2x - 4)

Problem 23 · challenge

Divide using long division: (x^3 - 8) / (x - 2)

Problem 24 · challenge

Expand and simplify: (x + 3)^2 - (x - 3)^2

Problem 25 · easy

State the leading coefficient of: -7x^5 + 2x^4 - x + 3.