Factoring a trinomial 3x^2 - 16x + 5

The video tutorial explains the process of factoring a quadratic equation by grouping. It begins with identifying the equation's components and highlights common mistakes, such as neglecting negative signs. The instructor demonstrates rewriting the equation to facilitate grouping and then details the steps to factor by grouping. The tutorial concludes with verifying the factored equation to ensure accuracy.

What is the product of the coefficients A and C in the expression 3x^2 - 16x + 15?

• 30

• 15

• 45

• 5

Which two numbers multiply to 15 and add to -16?

• 3 and 5

• -3 and -5

• 15 and 1

• -15 and -1

How is the middle term -16x split in the expression 3x^2 - 16x + 15 for factoring?

• -15x and -1x

• -8x and -8x

• -10x and -6x

• -12x and -4x

What is the common factor extracted from the first pair of terms in the expression 3x^2 - 15x - 1x + 5?

• 5

• 3x

• x

• 1

What is the final factored form of the expression 3x^2 - 16x + 15?

• (3x - 1)(x - 5)

• (3x + 5)(x - 1)

• (3x + 1)(x + 5)

• (3x - 5)(x + 1)