Algebramedium · Past Paper
If x^2 - 1 is a factor of x^4 + ax^3 + bx^2 + cx + d, what must be true?
AP(1) = 0 and P(-1) = 0
BP(1) = 0
CP(0) = 0
DP(1) = P(-1)
✓ Correct Answer: A — P(1) = 0 and P(-1) = 0
x^2 - 1 = (x-1)(x+1). Both 1 and -1 must be roots.
Share this question
More from Algebra
- Solve for x: (2x+1)/3 + 1 = x.
- In a class, the number of girls is 5 more than boys. If there are 35 students in total, how many boys are there?
- If x is an even number, the next consecutive even number is:
- The perimeter of a rectangle is 24 cm. If the length is 2 cm more than the width, find the width.
- Solve for x: 2x + 5 = 15