Factoring Trinomials Made Simple

This video tutorial focuses on factoring trinomials, starting with cases where the leading coefficient is 1 and progressing to more complex examples where it is not. The instructor demonstrates how to factor these expressions and solve quadratic equations using both factoring and the quadratic formula. The video includes multiple examples and encourages viewers to practice by pausing and attempting problems before solutions are revealed.

What two numbers multiply to 6 and add up to 5?

• 3 and 3

• 1 and 6

• 1 and 5

• 2 and 3

Which pair of numbers multiplies to 15 and adds up to 8?

• 3 and 5

• 1 and 15

• 3 and 6

• 2 and 7

For the trinomial x^2 - 7x + 12, which pair of numbers fits the factoring criteria?

• -2 and -6

• 2 and 6

• 3 and 4

• -3 and -4

How do you factor a trinomial with a leading coefficient different from 1?

• Divide the middle term by the leading coefficient

• Only find numbers that add to the middle term

• Multiply the leading coefficient by the constant term

• Use the quadratic formula

What is the correct factorization of 2x^2 - 3x - 2?

• (2x-1)(x+2)

• (x+2)(2x-1)

• (x-2)(2x+1)

• (2x-2)(x+1)

What are the solutions when you set each factor of 2x^2 - 3x - 2 equal to zero?

• x = 1 and x = -2

• x = -2 and x = 1/2

• x = 3 and x = -1

• x = 2 and x = -1/2

What is the correct factorization of 3x^2 + 8x - 3?

• (3x-1)(x+3)

• (3x+1)(x-3)

• 3x(x-3) + 1(x-3)

• 3x(x+3) - 1(x+3)

What are the solutions for the equation 3x^2 + 8x - 3 = 0?

• x = 1/3, x = -1

• x = -3, x = 1/3

• x = 3, x = -1/3

• x = -1, x = 3

How do you apply the quadratic formula to solve 4x^2 - 4x - 3 = 0?

• x = (4 ± sqrt(16 - 48))/8

• x = (4 ± sqrt(16 + 48))/8

• x = (-4 ± sqrt(16 - 48))/8

• x = (-4 ± sqrt(16 + 48))/8

What are the solutions derived from the quadratic formula for the equation 4x^2 - 4x - 3 = 0?

• x = 1/2, x = -3/2

• x = 1, x = -1

• x = 2/3, x = -1/3

• x = 3/2, x = -1/2