Factoring a trinomial when a is greater than one now you know solve

The video tutorial covers solving quadratic equations by factoring. It begins with checking for common factors and explains the strategy of using the quadratic form AX^2 + BX + C = 0. The tutorial guides through finding factors that multiply to a specific product and add to a specific sum. It highlights common mistakes and demonstrates factoring by grouping. Finally, it applies the zero product property to solve the equations, providing solutions for the variables.

What is the first step in solving a quadratic equation by factoring?

• Isolate the variable

• Check for a common factor

• Use the quadratic formula

• Complete the square

In the equation 2x^2 + 5x - 3 = 0, what is the product of a and c?

• 3

• 2

• -6

• 5

Which pair of numbers multiplies to -6 and adds to 5?

• 1 and -6

• -2 and 3

• 6 and -1

• 2 and -3

What is the purpose of rewriting the middle term in the quadratic equation?

• To simplify the equation

• To change the equation to standard form

• To prepare for factoring by grouping

• To eliminate the constant term

What is the result of factoring out the common term in the expression 2x^2 + 6x - x - 3?

• (x + 3)(2x - 1)

• (x - 3)(2x + 1)

• (2x + 3)(x - 1)

• (2x - 3)(x + 1)

What property is applied after factoring the quadratic equation to find the solutions?

• Distributive Property

• Zero Product Property

• Associative Property

• Commutative Property

What are the solutions to the equation 2x^2 + 5x - 3 = 0 after factoring?

• x = 3 and x = 1/2

• x = -3 and x = -1/2

• x = 3 and x = -1/2

• x = -3 and x = 1/2