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Find the discriminant of 2x^2 + 6x – 6 = 0.
Correct answer(s):
- 84
For x^2 + 7x + 0 = 0, what is the product of the roots?
Correct answer(s):
- 0
For x^2 – 9x + 18 = 0, what is the sum of the roots?
Correct answer(s):
- 9
Find the roots of x^2 – 2x – 15 = 0.
Correct answer(s):
- 5 and -3
Factorize by grouping: 2x^2 + 12x + 3x + 18.
Correct answer(s):
- (2x + 3)(x + 6)
Factorize completely: 64x^2 – 9.
Correct answer(s):
- (8x - 3)(8x + 3)
Factorize: x^2 + 17x + 72.
Correct answer(s):
- (x + 9)(x + 8)
Factorize by grouping: 5x^2 + 10x + 5x + 10.
Correct answer(s):
- (5x + 5)(x + 2)
Factorize completely: 36x^2 – 64.
Correct answer(s):
- (6x - 8)(6x + 8)
Factorize: x^2 + 19x + 84.
Correct answer(s):
- (x + 12)(x + 7)
Factorize by grouping: 4x^2 + 8x + 8x + 16.
Correct answer(s):
- (4x + 8)(x + 2)
Factorize completely: 49x^2 – 1.
Correct answer(s):
- (7x - 1)(7x + 1)
Factorize: x^2 + 14x + 33.
Correct answer(s):
- (x + 11)(x + 3)
Factorize by grouping: 2x^2 + 12x + 2x + 12.
Correct answer(s):
- (2x + 2)(x + 6)
Factorize completely: 25x^2 – 1.
Correct answer(s):
- (5x - 1)(5x + 1)
Factorize: x^2 + 16x + 48.
Correct answer(s):
- (x + 4)(x + 12)
Factorize by grouping: 2x^2 + 6x + 7x + 21.
Correct answer(s):
- (2x + 7)(x + 3)
Factorize completely: 4x^2 – 1.
Correct answer(s):
- (2x - 1)(2x + 1)
Factorize: x^2 + 15x + 44.
Correct answer(s):
- (x + 4)(x + 11)
Factorize by grouping: 2x^2 + 10x + 2x + 10.
Correct answer(s):
- (2x + 2)(x + 5)