4/13/17 Week 2 Thursday daily sheet:
Multiplying polynomials (including using FOIL)
Daily aims:
 1. I can multiply polynomials by monomials.
 2. I can multiply two binomials (for example, by using FOIL).
Before lesson
Please do not use a calculator for these.
1) Write the missing exponent:
During lesson
(3 • 3) (3 • 3 • 3 • 3) = 3 • 3 • 3 • 3 • 3 • 3
(3
)
(3
)
=
3
2) Simplify. Express your answer as a power of 4.
(43)(45) =
3) Simplify. Express your answer as a power of x.
(x3)(x5) =
5) Simplify.
4a)
2a3(3a4) =
4b)
3b(4b2) =
4c)
–6(8c) =
4d)
7a2b(2ab3) =
3(2x + 5)
D. Stark 3/17/2017
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6a)
4d2(5d4 + 7d3) =
6b)
5ef(2e2 – 3e) =
Use FOIL to multiply the binomials. Remember to
combine the 2 like middle terms at the end.
7a)
(2g + 4)(3g + 8) =
7b)
(–3h + 4)(h – 5) =
8) If you’re a visual person, you might prefer the box
method. Try that for
(4j – 7)(3j + 6) =
4j
–7
3j
6
D. Stark 3/17/2017
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4/13/17 Week 2 Thursday daily sheet:
Multiplying polynomials (including using FOIL)
KEY
Daily aims:
 1. I can multiply polynomials by monomials.
 2. I can multiply two binomials (for example, by using FOIL).
Before lesson
Please do not use a calculator for these.
1) Write the missing exponent:
During lesson
(3 • 3) (3 • 3 • 3 • 3) = 3 • 3 • 3 • 3 • 3 • 3
6
4
2
(3
) (3
)
=
3
2) Simplify. Express your answer as a power of 4.
(43)(45) =
48
According to the product rule of exponents, when
you’re multiplying and the bases are the same, you
just add the exponents.
3) Simplify. Express your answer as a power of x.
(x3)(x5) =
x8
The rule works the same way for variable bases as
for number bases.
D. Stark 3/17/2017
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5) Simplify.
4a)
2a3(3a4) =
6a7
4b)
3b(4b2) =
12b3
4c)
–6(8c) =
–48c
4d)
7a2b(2ab3) =
6a)
4d2(5d4 + 7d3) =
20d6 +28d5
6b)
5ef(2e2 – 3e) =
10e3f – 15e2f
(Remember b = b1.)
14a3b4
3(2x + 5)
3(2x) + 3(5)
= 6x + 15
Use the distributive property.
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Use FOIL to multiply the binomials. Remember to
combine the 2 like middle terms at the end.
7a)
(2g + 4)(3g + 8) =
= 6g2 + 16g + 12g + 32
=
7b)
6g2 + 28g + 32
(–3h + 4)(h – 5) =
= –3h2 + 15h + 4h – 20
=
–3h2 + 19h – 20
8) If you’re a visual person, you might prefer the box
method. Try that for
(4j – 7)(3j + 6) =
4j
–7
3j
6
= 12j2 + 24j –21j – 42
=
12j2 + 3j – 42
D. Stark 3/17/2017
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