Tap TRUE or FALSE for each polynomial / equation statement.

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   If p(a) = 0, then x − a is a factor of p(x).

2. Statement is true

   No

   Statement

   x² + 1 can be factored into two first-degree real polynomials.

3. Statement is true

   Yes

   Statement

   x − a is a factor of xⁿ − aⁿ for every natural number n.

4. Statement is true

   Yes

   Statement

   The equation of the circle with centre at the origin and radius 1 is x² + y² = 1.

5. Statement is true

   No

   Statement

   Slopes of perpendicular lines satisfy m₁ × m₂ = +1.

Explanation