Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Consider the polynomial
p
(
x
)
=
3
x
3
−
4
x
2
−
7
x
+
10
p(x)=3x^{3}-4x^{2}-7x+10
p
(
x
)
=
3
x
3
−
4
x
2
−
7
x
+
10
. a. (i) Calculate
p
(
2
)
p(2)
p
(
2
)
. b. (ii) Using your result in part (i), determine whether
(
x
−
2
)
(x-2)
(
x
−
2
)
is a factor of
p
(
x
)
p(x)
p
(
x
)
. c. (iii) State your conclusion clearly, giving a brief reason.
Browse the problem library