Question

Factorise : (x^2 − 1)(x + 3)(x + 5) + 16

Answer 1

Answer:

For this one I will merely give the answer as

(

x

−

a

)

(

x

−

b

)

(

x

2

+

c

x

+

d

)

. Use what is below to work the values out.

Explanation:

Multiplying out we have:

(

x

+

1

)

(

x

+

2

)

(

x

+

3

)

(

x

+

4

)

−

120

=

x

4

+

10

x

3

+

35

x

2

+

50

x

−

96

Can you find a pair of rational (actually, integer) zeroes of this polynomial? Hint:

120

=

2

×

3

×

4

×

5

=

(

−

5

)

×

(

−

4

)

×

(

−

3

)

×

(

−

2

)