Algebrahard · Past Paper
Factorize a^4 + 4.
A(a^2+2a+2)(a^2-2a+2)
B(a^2+2)^2
C(a^2-2)^2
D(a+2)^2(a-2)^2
✓ Correct Answer: A — (a^2+2a+2)(a^2-2a+2)
Add and subtract 4a^2: (a^4 + 4a^2 + 4) - 4a^2 = (a^2+2)^2 - (2a)^2 = (a^2+2-2a)(a^2+2+2a).
Share this question
More from Algebra
- Factorize x^4 + 4x^2y^2 + 16y^4.
- A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. Find the speed of the boat in still water.
- If x^2 - 3x + 2 is a factor of x^4 - px^2 + q, find p.
- For the equation x^2 - 5x + 6 = 0, what are the roots?
- If P(x) = x^2 - 3x + 2, for what values of x is P(x) = 0?