Name: ____________________________________________________________Date: __________________________Block:___
Assignment #5: Multiplying & Dividing Polynomials
/27
1. Sergio wanted to determine 5
x
(7
x
– 2). His solution is shown below.
(2 marks)
(5
x
)(7
x
) + (5
x
)(–2)
Step 1
= (5)(7)(
x
)(
x
) + (5)(–2)(
x
)(–2)
Step 2
= 35
x
2
– 10(–2
x
)
Step 3
=
x
35
x
2
+ 20
x
Step 4
Sergio discovered an error in his solution.
In which step did Sergio make the error? Show the correct solution.
2.
Use an area model to expand each expression.
(2 marks)
a) (3
x
)(2
x
– 1)
b) (4
d
+ 3)(3
d
)
3.
Determine the polynomial multiplication statement shown by the diagrams and SOLVE.
(4 marks)
a)
b)
4.Complete the following statements:
(3 marks)
a) The product (–3.7
x
)(5.1
y
), in simplified form, is ____.
b) The quotient 10
x
2
÷ 4
x
, in simplified decimal form, is ____.
c) Multiplying the polynomial
4
5
x
– 6 by 5
x
produces the expression ____.
5. Use the distributive property to expand each expression.
(2 marks)
a) (5
m
)(2
m
+ 3)
b) (–
n
)(
n
+ 1)
Mrs. N Gill
Math
9
= positive 1
= negative 1
= positive xy-tile
= positive
x
= negative
x
= positive
x
2
= positive y-tile
= negative
x
2
