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Find the discriminant of 3x^2 + 3x + 11 = 0.
Correct answer(s):
- -123
For x^2 + 9x + 18 = 0, what is the product of the roots?
Correct answer(s):
- 18
For x^2 – 10x + 16 = 0, what is the sum of the roots?
Correct answer(s):
- 10
Find the roots of x^2 – 8x + 0 = 0.
Correct answer(s):
- 0 and 8
What is the vertex of y = 3(x – 1)^2 + 4?
Correct answer(s):
- (1, 4)
Find the discriminant of 4x^2 – 2x + 2 = 0.
Correct answer(s):
- -28
For x^2 + 12x + 35 = 0, what is the product of the roots?
Correct answer(s):
- 35
For x^2 – 5x + 4 = 0, what is the sum of the roots?
Correct answer(s):
- 5
Find the roots of x^2 + 0x – 49 = 0.
Correct answer(s):
- -7 and 7
What is the vertex of y = 4(x – 1)^2 – 3?
Correct answer(s):
- (1, -3)
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)