Factoring Quadratics in Standard Form

Solve by factoring: x² = 7x + 18

• -7 and -18

• 9 and 2

• 9 and -2

• 2 and 7

If the zeros of a quadratic equation are −2 and 3, the equation can be written as

• (x − 2)(x + 3) = y

• (x + 2)(x − 3) = y

• (x + 2)(x + 3) = y

• (x − 2)(x − 3) = y

Keith found the zeros of a graph to be \frac{1}{2} and -3 . What would the equation look like in factored form?

• y = (2x + 1)(x + 3)

• y = (2x – 1)(x + 3)

• y = (2x – 1)(x – 3)

• y = (2x + 1)(x – 3)

Given the graph, what are the factors

• (x − 2)(x + 1)

• (x − 2)(x − 1)

• (x + 2)(x − 1)

• (x + 2)(x + 1)

How would the equation of this graph look in factored form?

• y = (x – 5)²

• y = (x + 5)²

• y = x(x – 5)

• y = x(x + 5)

How would the equation of this graph look in factored form?

• y = (x – 4)²

• y = (x + 4)²

• y = x(x – 4)

• y = x(x + 4)

How would this equation look in standard form?

• y = x² – 2x + 3

• y = x² – 2x – 3

• y = x² + 2x + 3

• y = x² + 2x – 3

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Factor completely: x²+16x+64

• (x+4)(x+16)

• (x-8)(x-8)

• (x+2)(x+32)

• (x+8)(x+8)

Fill in the blank: The process of changing the sum to a product is called _____.

• Area Model

• Standard Form

• Factoring

• Quadratics