Factoring a quadratic by guess and check

The video tutorial covers factoring methods, focusing on the guess and check approach to factor a quadratic expression into binomials. It explores different combinations of terms to achieve the desired product and sum, specifically targeting the multiplication to -6 and the sum to 5X. The tutorial demonstrates the process of testing various values and solving the equation using inverse operations to find the roots.

What are the two possible pairs of terms that can be used to factor 4X squared?

• 4X and 4X or 8X and X

• X and X or 2X and X

• 3X and 3X or 6X and X

• 2X and 2X or 4X and X

Which of the following pairs of numbers can multiply to give -6?

• ±6 and ±1

• ±4 and ±2

• ±5 and ±1

• ±3 and ±3

What is the correct middle term that should be achieved when factoring the quadratic expression?

• 4X

• 6X

• 5X

• 3X

Which pair of numbers correctly factors the quadratic expression to achieve the middle term?

• Positive 2 and -3

• Positive 3 and -2

• Positive 6 and -1

• Positive 1 and -6

What are the solutions to the equation after factoring and using inverse operations?

• X = 4/5 and X = -6

• X = 2/3 and X = -1

• X = 1/2 and X = -3

• X = 3/4 and X = -2