How To Factor Polynomials The Easy Way!

Created from Youtube video: https://www.youtube.com/watch?v=U6FndtdgpcAvideo

Concepts covered:factoring polynomials, greatest common factor, trinomials, factoring by grouping, perfect squares

The video provides a step-by-step guide on factoring polynomials, starting with simple examples using the greatest common factor (GCF) and progressing to more complex cases like factoring trinomials and polynomials with four terms. It covers techniques such as factoring by grouping and handling differences of perfect squares, offering practical examples to illustrate each method.

chapter

Concepts covered:factoring polynomials, greatest common factor, trinomials, factoring by grouping, perfect squares

Question 1

Factoring by grouping can be used for four-term polynomials.

Question 2

What is the GCF of 3x³ - 2x²?

Question 3

In x² - 16, factor using the difference of _____ squares.

Question 4

CASE STUDY: A software engineer is debugging an algorithm that involves polynomial expressions. The expression is 5x squared plus 6x minus 8. They need to apply the correct factorization technique to resolve the issue.

Which factorization method is incorrect?

Question 5

CASE STUDY: An engineer is designing a component that requires precise calculations. The polynomial expression 2x cubed minus 3x squared minus 2x plus 3 needs to be factored for accurate measurements.

Select three correct factorization steps.

Question 6

GCF is always present in trinomials.

Question 7

How to factor x² - 64?

Question 8

The GCF of 6x² + x - 15 is _____ before grouping.

Question 9

CASE STUDY: A company is optimizing its production process and needs to factor a polynomial expression to minimize costs. The expression is 4x squared minus 12x plus 9. They need to determine the correct factorization to proceed with the optimization.

Identify the incorrect factorization method.

Question 10

The square root of x squared is 2x.

Question 11

What is the first step in factoring 6x² + x - 15?

Question 12

For 3x³ - 2x² - 12x + 8, factor by _____ first.

Question 13

Difference of squares involves square roots of terms.

Question 14

How do you factor 2x² - 5x - 3?

Question 15

The square root of 64 in x² - 64 is _____ .

Question 16

Factoring trinomials may require finding two numbers with specific properties.

Question 17

How to factor 3x³ - 2x² - 12x + 8?

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