Solving Quadratics by Factoring: Section 4-4 Part 3

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

• Identify two numbers that multiply to C and add to B

• Calculate the discriminant

• Set the equation to zero

• Draw a graph of the equation

If C is positive in a quadratic equation, what can be inferred about the signs of the two numbers found in factoring?

• Both numbers are positive

• Both numbers are negative

• One number is positive and one is negative

• Cannot determine the signs

In the example where the product is -28 and the sum is 3, which pair of numbers satisfies these conditions?

• 1 and -29

• -14 and 2

• -4 and 7

• 2 and 1

After factoring a quadratic equation, what is the next step to find the solutions?

• Graph the factors

• Add the factors

• Set each factor equal to zero and solve

• Multiply the factors

What are the solutions to the equation when factored terms are x-4 and x+7?

• x = -4, x = 7

• x = 4, x = 7

• x = -4, x = -7

• x = 4, x = -7

In the example with a product of 18 and a sum of 11, which numbers meet these criteria?

• 1 and 18

• 2 and 9

• 3 and 6

• -2 and -9

What are the solutions for the quadratic equation factored as x+2 and x+9?

• x = 2, x = 9

• x = -2, x = -9

• x = -2, x = 9

• x = 2, x = -9

In a special case where the middle term is missing, what does a product of -25 and sum of 0 imply about the numbers?

• 0 and -25

• 5 and -5

• 25 and -25

• 12.5 and -12.5

How do you solve the equation x^2 - 25 = 0?

• x = 0 or x = 25

• x = 25 or x = -25

• x = 5 or x = -5

• x = 12.5 or x = -12.5

What does it mean when a quadratic equation is written as x^2 + 0x - 25 = 0?

• The equation has a double root

• The equation has two solutions, one positive and one negative

• The equation has no real solutions

• The equation has one solution