Factoring: Quadratic Trinomial when a=1

Factoring: Quadratic Trinomial when a=1

What are quadratic expressions?

A quadratic expression  is any mathematical expression whose largest power or degree is two.

The expression can be simplified or rewritten in a factored form.

What are Trinomials?

Trinomials are algebraic expressions with three terms that are separated by + or -.

What is a quadratic trinomial?

A quadratic trinomial is an algebraic expression with 3 terms separated by + or - with a degree of 2. The largest power of x is 2.

Factoring trinomials of the form

 $ax^2+bx+c$  

• List all of the factors of c

• Decide which combination of numbers will add up to b ( keep their signs)

• Write the factored form: (x+__)(x+__)

Multiple Choice

In order to factor the trinomial ,  $ax^2+bx+c$  we need to find to integers that....?

• add to c

• add to b

• subtract to b

• subtract to c

Multiple Choice

Factor

a² - a - 12

• (a + 4)(a - 3)

• (a - 4)(a + 3)

• (a + 6)(a - 4)

• (a - 6)(a + 4)

Multiple Choice

Factor

x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 9)(x - 4)

• (x - 12)(x + 3)

Multiple Choice

Factor

n² + 5n - 6

• (n + 1)(n - 6)

• (n + 2)(n - 3)

• (n - 2)(n - 3)

• (n - 1)(n + 6)

Multiple Choice

Factor:

b² + 8b + 7

• (b + 4)(b + 3)

• (b + 6)(b + 1)

• (b + 7)(b +1)

• (b+9)(b-1)