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Mathematics
Mathematics
Problem
Consider the quadratic polynomial
p
(
x
)
=
2
x
2
+
k
x
−
10
p(x)=2x^{2}+kx-10
p
(
x
)
=
2
x
2
+
k
x
−
10
. a. (i) If
x
=
2
x=2
x
=
2
is a zero of
p
(
x
)
p(x)
p
(
x
)
, write the resulting equation in
k
k
k
. b. (ii) Solve the equation obtained in part (i) to find the value of
k
k
k
. c. (iii) Using this value of
k
k
k
, factorise
p
(
x
)
p(x)
p
(
x
)
completely.
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