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Factoring

Problems

Introduction and Summary

Terms

Factoring ax2 + bx + c

Problems

Factoring Polynomials of Degree 3

Problems

Factoring Polynomials of Degree 4

Problems

Roots

Problems

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Roots

Factoring

Problems

Problem 4.1: How many distinct roots does the graph of the following equation have?
y = 4x² + 18x - 10

Solution for Problem 4.1

Problem 4.2: How many distinct roots does the graph of the following equation have?
y = 25x² - 10x + 1

Solution for Problem 4.2

Problem 4.3: How many distinct roots does the graph of the following equation have?
y = 4x² - 9x + 6

Solution for Problem 4.3

Problem 4.4: How many distinct roots does the graph of the following equation have?
y = (x - 1)² + 2

Solution for Problem 4.4

Problem 4.5: How many distinct roots does the graph of the following equation have?
y = - (x - 1)² + 2

Solution for Problem 4.5

Problem 4.6: How many distinct roots does the graph of the following equation have?
y = (x - 6)²

Solution for Problem 4.6

Problem 4.7: How many distinct roots does the graph of the following equation have?
y = - (x - 6)²

Solution for Problem 4.7

Problem 4.8: How many distinct roots does the graph of the following equation have?
y = (x + 3)² - 2

Solution for Problem 4.8

Problem 4.9: How many distinct roots does the graph of the following equation have?
y = - (x + 3)² - 2

Solution for Problem 4.9

Problem 4.10: How many distinct roots does the graph of the following equation have?
y = (x + 1)(3x - 4)(2x + 5)

Solution for Problem 4.10

Problem 4.11: How many distinct roots does the graph of the following equation have?
y = (3x - 7)(x² + 3)

Solution for Problem 4.11

Problem 4.12: How many distinct roots does the graph of the following equation have?
y = (4x - 5)²(x - 4)

Solution for Problem 4.12

Problem 4.13: How many distinct roots does the graph of the following equation have?
y = (7x - 1)(x² - 2)

Solution for Problem 4.13

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