Multiply. 2p(6p2 + 2p – 1) Multiplying a Polynomial by a Monomial

SECTION 5.5
Multiply.
2p(6p2 + 2p – 1)
Multiplying a Polynomial by a Monomial: Use the ____________________ property to
_______________ each _______________ in the polynomial by the _______________.
5a(2a2 – a + 6)
-2a2b(3a3b + ab3 – 5a4 + 4bc)
Multiply.
(x + 7)(x + 3)
Multiplying Polynomials
1. Multiply _______________ term in the _______________ polynomial by every
_______________ in the first _______________.
2. Combine like _______________.
F____________________ O____________________ I____________________ L__________________
Multiply.
(2x + 1)(x – 5)
(a + 4)(a + 9)
(n + 7)(n – 5)
(3x – 5)(2x + 7)
(2t – 7)(3t – 1)
Multiply.
(x – 3)(2x3 + 3x + 3) Horizontal Multiplication
(x – 3)(2x3 + 3x + 3) Vertical Multiplication
Which METHOD is used to help you keep your distribution and signs organized?
Multiply.
(x + 3)(x2 – 3x + 2)
(2f + 3g)(2f2 – 3fg – 9g2)
SPECIAL CASES.
Multiply.
(a + 4)(a – 4)
(n – 5)(n + 5)
(2t + 7)(2t – 7)
(4b – 5c)(4b + 5c)
Conjugates: Binomials that _______________ only in the sign _______________ the terms.
Multiplying Conjugates: If a and b are real numbers, variables, or expressions, then
____________________= ___________________.
Multiply.
(a + 4)(a + 4)
(n – 5)(n – 5)
(2t + 7)(2t + 7)
(4b – 5c)(4b – 5c)
Squaring a Binomial: If a and b are real numbers, variables, or expressions, then
____________________=______________________________
____________________=______________________________
Do the two examples at the end.
Do you have any questions in regards to Section 5.5 video and homework?