Factoring Polynomials and GCF

This video tutorial covers various factoring techniques in mathematics, including the greatest common factor (GCF), difference of squares, sum and difference of cubes, and factoring trinomials. It also explores factoring by grouping and complete factoring methods, providing examples and explanations for each concept.

What is the GCF of 24y^4 and 54?

• 12y^2

• 3y^3

• 6y^3

• 6y^4

What is the GCF of 51a^4b^5 and 17a^3b^4?

• 51a^3b^5

• 34a^3b^4

• 17a^3b^4

• 17a^4b^5

How do you factor x^2 - y^2?

• (x + y)(x - y)

• (x - y)^2

• (x + y)^2

• x^2 - y^2 cannot be factored

What is the factored form of 36w^2 - 25?

• (6w + 5)^2

• 36w^2 - 25 cannot be factored

• (6w - 5)^2

• (6w + 5)(6w - 5)

What is the factored form of x^3 + y^3?

• (x + y)^3

• (x + y)(x^2 - xy + y^2)

• (x - y)(x^2 + xy + y^2)

• (x - y)^3

What is the factored form of 8f^3 + 27?

• (2f - 3)^3

• (2f + 3)^3

• (2f - 3)(4f^2 + 6f + 9)

• (2f + 3)(4f^2 - 6f + 9)

What are the two numbers that multiply to -30 and add to -13 in the trinomial x^2 - 13x - 30?

• -15 and 2

• -10 and 3

• 10 and -3

• 15 and -2

What is the factored form of x^4 - 5x^2 + 4?

• (x^2 + 1)(x^2 + 4)

• (x^2 - 1)(x^2 + 4)

• (x^2 + 1)(x^2 - 4)

• (x^2 - 1)(x^2 - 4)

What is the factored form of 3r^2 - 3 + 5r - 5?

• (3r + 1)(r - 5)

• (3r - 5)(r + 1)

• (3r + 5)(r - 1)

• (3r - 1)(r + 5)

What is the GCF of -6k^2 + 12k - 18?

• -6

• 3

• -3

• 6