Factoring Polynomials and Binomials

This video tutorial teaches how to factor quadratics using the difference of squares method. It begins with an introduction to the concept of factoring and the difference of squares rule. The tutorial then provides two examples: factoring X^2 - 4 and 16X^2 - 25, demonstrating the step-by-step process of rewriting terms as squares and breaking them into binomials. The video emphasizes checking work by multiplying the binomials to ensure they equal the original quadratic.

What is the process of breaking up a polynomial into simpler terms called?

• Factoring

• Subtracting

• Multiplying

• Adding

Which method is used to multiply two binomials?

• Squaring

• Cross-multiplying

• Distributing

• FOILing

What does the difference of squares formula A^2 - B^2 equal?

• (A + B)(A - B)

• (A - B)(A + B)

• (A - B)(A - B)

• (A + B)(A + B)

In the expression A^2 - B^2, what does 'difference' refer to?

• Addition

• Multiplication

• Subtraction

• Division

How can X^2 - 4 be rewritten using the difference of squares?

• (X - 2)(X - 2)

• (X - 2)(X + 2)

• (X - 4)(X + 4)

• (X + 2)(X + 2)

What is the square root of 4 in the expression X^2 - 4?

• 1

• 2

• 3

• 4

What is the factored form of 16X^2 - 25?

• (4X + 4)(4X - 4)

• (4X - 5)(4X + 5)

• (4X - 5)(4X - 5)

• (4X + 5)(4X + 5)

What is the square root of 16X^2 in the expression 16X^2 - 25?

• 2X

• 3X

• 4X

• 5X

What is the square root of 25 in the expression 16X^2 - 25?

• 3

• 4

• 5

• 6

What is the main concept learned in this lesson?

• Factoring by difference of squares

• Factoring by completing the square

• Factoring by trial and error

• Factoring by grouping