Product of a monomial and a binomial

Product of a monomial and a
binomial
Product of a monomial and a
binomial
Product of a monomial and a
binomial
Product of two binomials
Product of two binomials
x•x
Product of two binomials
x•x + x•16
Product of two binomials
x•x + x•16 + 4•x
Product of two binomials
x•x + x•16 + 4•x + 4•16
Product of two binomials
x•x + x•16 + 4•x + 4•16
x2 + 16x + 4x + 64
Product of two binomials
x•x + x•16 + 4•x + 4•16
x2 + 16x + 4x + 64
Product of two binomials
x•x + x•16 + 4•x + 4•16
x2 + 16x + 4x + 64
x2 + 20x + 64
When multiplying two binomials,
multiply each term of the first
binomial by each term of the second
binomial. Then combine like terms.
•
•
a
•
a
b
•
a
b
a+b
a
•
b
•
a
b
a
•
b
•
a
b
a
•
b
•
a
b
a
•
b
•
a
b
a
•
b
•
a
b
a
•
b
•
a
b
a
•
b
•
a
b
a
•
b
•
a
b
a
•
b
•
a
b
a
•
b
•
a
b
•
a
b
c
•
d
•
a
b
c
•
d
•
a
b
c
•
d
•
a
b
c
•
d
•
a
b
c
•
d
•
a
b
c
•
d
•
a
b
c
•
d
•
a
b
c
•
d
•
a
b
c
•
d
•
a
b
c
•
d
•
a
b
c
•
d
•
a
b
x•x + x•3 + -3•x + -3•3
x•x + x•3 + -3•x + -3•3
x•x + x•3 + -3•x + -3•3
x•x + x•3 + -3•x + -3•3
x•x + x•3 + -3•x + -3•3
x2 + 3x + -3x + -9
x•x + x•3 + -3•x + -3•3
x2 + 3x + -3x + -9
x•x + x•3 + -3•x + -3•3
x2 + 3x + -3x + -9
x•x + x•3 + -3•x + -3•3
x2 + 3x + -3x + -9
x2 + -9
x•x + x•3 + -3•x + -3•3
x2 + 3x + -3x + -9
x2 + -9
x2 – 9
x•x + x•3 + -3•x + -3•3
x2 + 3x + -3x + -9
x2 + -9
x2 – 9
A difference of squares
A mnemonic device
A mnemonic device
FOIL
A mnemonic device
FOIL
(First, Outside, Inside, Last)
A mnemonic device
FOIL
(First, Outside, Inside, Last)
A mnemonic device
FOIL
(First, Outside, Inside, Last)
A mnemonic device
FOIL
(First, Outside, Inside, Last)
A mnemonic device
FOIL
(First, Outside, Inside, Last)
(n + 3)(n + 4)
A mnemonic device
FOIL
(First, Outside, Inside, Last)
(n + 3)(n + 4)
n•n + n•4 +3•n + 3•4
A mnemonic device
FOIL
(First, Outside, Inside, Last)
(n + 3)(n + 4)
n•n + n•4 +3•n + 3•4
A mnemonic device
FOIL
(First, Outside, Inside, Last)
(n + 3)(n + 4)
n•n + n•4 +3•n + 3•4
A mnemonic device
FOIL
(First, Outside, Inside, Last)
(n + 3)(n + 4)
n•n + n•4 +3•n + 3•4
A mnemonic device
FOIL
(First, Outside, Inside, Last)
(n + 3)(n + 4)
n•n + n•4 +3•n + 3•4
n2 + 4n + 3n +12
A mnemonic device
FOIL
(First, Outside, Inside, Last)
(n + 3)(n + 4)
n•n + n•4 +3•n + 3•4
n2 + 4n + 3n +12
A mnemonic device
FOIL
(First, Outside, Inside, Last)
(n + 3)(n + 4)
n•n + n•4 +3•n + 3•4
n2 + 4n + 3n +12
n2 + 7n +12
When multiplying two binomials,
multiply each term of the first
binomial by each term of the second
binomial. Then combine like terms.
When multiplying two polynomials,
multiply each term of the first
polynomial by each term of the
second polynomial. Then combine
like terms.