Algebramedium · Past Paper
Which of the following is a factor of x^3 + x^2 + x + 1?
Ax - 1
Bx + 1
Cx + 2
Dx - 2
✓ Correct Answer: B — x + 1
P(-1) = (-1)^3 + (-1)^2 + (-1) + 1 = -1 + 1 - 1 + 1 = 0. By factor theorem, x+1 is a factor.
Share this question
More from Algebra
- The difference of two numbers is 10 and their ratio is 3:2. Find the smaller number.
- Simplify (2x^2 + 4x) / 2x.
- If the length of a rectangle is reduced by 5 units and breadth is increased by 3 units, the area is reduced by 9 sq units. If we increase length by 3 and breadth by 2, area increases by 67. Find length.
- Solve: 15/x = 5/2.
- If the discriminant of x^2 + bx + 1 = 0 is negative, then: