Algebra and Number: Polynomials
Math 10C: multiplying, factoring, and simplifying polynomial expressions.
20 questions, free, marked as you go with a worked explanation on every one.
What this covers
- math10c expanding and factoring
- factoring quadratics
- radicals
- area perimeter
The questions
- Expand: (x + 3)(x + 2)
- Simplify and evaluate: 3x + 2x when x = 4
- Factor: x² + 7x + 12
- Simplify: √49
- Expand (x + 1)(x - 1)
- Evaluate: √(9 × 16)
- Factor: x² - 5x + 6
- Evaluate (2x)² when x = 3.
- A rectangular garden has a length of (x + 7) metres and a width of (x + 3) metres. The area of the garden is 165 square metres. What is the value of x?
- A rectangular field has a length of (x + 4) metres and a width of (x + 1) metres. The area of the field is 54 square metres. What is the value of x?
- A rectangular pool has a perimeter of 40 m. Its length is 4 m more than its width. What is the width of the pool, in metres?
- A square has side length (x + 3). Which expression represents its area?
- A rectangle has a length of (x + 6) metres and a width of (x + 4) metres. The area is 63 square metres. What is the perimeter of the rectangle, in metres?
- Factor: x² + 7x + 12
- Factor completely: x^2 - 16.
- Factor completely: x^2 - 8x + 16.
- Factor completely: x^2 + 2x - 15.
- Simplify sqrt(18) to the form k * sqrt(2). What is the value of k?
- Evaluate sqrt(2) * sqrt(8).
- Simplify 4*sqrt(3) + 2*sqrt(3) to the form k*sqrt(3). What is the value of k?