# Algebra II: Factoring

### Problems

Problem : How many distinct roots does the graph of the following equation have?
y = 4x 2 + 18x - 10

Problem : How many distinct roots does the graph of the following equation have?
y = 25x 2 - 10x + 1

Problem : How many distinct roots does the graph of the following equation have?
y = 4x 2 - 9x + 6

Problem : How many distinct roots does the graph of the following equation have?
y = (x - 1)2 + 2

Problem : How many distinct roots does the graph of the following equation have?
y = - (x - 1)2 + 2

Problem : How many distinct roots does the graph of the following equation have?
y = (x - 6)2

Problem : How many distinct roots does the graph of the following equation have?
y = - (x - 6)2

Problem : How many distinct roots does the graph of the following equation have?
y = (x + 3)2 - 2

Problem : How many distinct roots does the graph of the following equation have?
y = - (x + 3)2 - 2

Problem : How many distinct roots does the graph of the following equation have?
y = (x + 1)(3x - 4)(2x + 5)

Problem : How many distinct roots does the graph of the following equation have?
y = (3x - 7)(x 2 + 3)

Problem : How many distinct roots does the graph of the following equation have?
y = (4x - 5)2(x - 4)

Problem : How many distinct roots does the graph of the following equation have?
y = (7x - 1)(x 2 - 2)

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