Factoring With FOIL

to multiply two binomials, find the sum of the products of the 1st terms, the Outside terms, the Inside terms, and the Last terms

• FOIL method

• factoring by grouping

• difference of two squares

• quadratic equation

a trinomial that is the square of a binomial

• perfect square trinomial

• Zero Product Property

• trinomial

• leading coefficient

Factor
n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

x² + 4x + 3

• (x – 4)(x – 1)

• (x + 4)(x – 1)

• (x + 1)(x + 3)

• (x + 2)(x + 2)

Factor
k²+7x+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

Factor
x²+12x+35

• (x+5)(x+7)

• (x+4)(x+3)

• (x+7)(x-5)

• Prime

Factor
x² + 5x + 4

• (x + 4)(x + 1)

• (x + 2)(x + 2)

• (x + 4)(x - 1)

• (x + 5)(x + 1)

Factor:
 b² + 8b + 7

• (b + 4)(b + 3)

• (b + 6)(b + 1)

• (b + 7)(b +1)

• prime

Simplify the product. Write the answer in standard form.

(x+2)(x-5) (HINT: Use FOIL)

• x²-3x-10

• 2x²-3

• x²-10

• x²+2x-10