Given polynomial 
.
(a) To show that (x – 3) is a factor of f(x).
Factor theorem:
<em>A polynomial f(x) has a factor of (x – a), if and only if f(a) = 0.</em>
= 0
f(3) = 0
Hence (x – 3) is a factor of f(x).
(b) 
Here 
is common in first 2 terms and 2 is common in next 2 terms.
Now, (x – 3) is common in both terms.
and 
x = 3 and 
3 is the real root.
using quadratic formula solve and find the other roots.
These are complex roots.
Hence 3 is the only real root of the equation f(x) = 0.
Answer:
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The axis of symmetry of h(x) = 5x2 + 40x + 64 = -4
The formula for calculating the axis of symmetry is expressed as:
Axis of symmetry x = -b/2a
h(x) = 5x^2 + 40x + 64
a = 5 and b = 40
Answer:
m=4 because 2 times 4 is 8 and n= 8 because 2 times 8 is 16
Step-by-step explanation:
