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Let . (i) Divide by and write the quotient and remainder. (ii) Using the result of…
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
Let
p
(
x
)
=
x
3
−
6
x
2
+
11
x
−
6
p(x)=x^{3}-6x^{2}+11x-6
p
(
x
)
=
x
3
−
6
x
2
+
11
x
−
6
. (i) Divide
p
(
x
)
p(x)
p
(
x
)
by
x
−
1
x-1
x
−
1
and write the quotient and remainder. (ii) Using the result of part (i), factorise
p
(
x
)
p(x)
p
(
x
)
completely into linear factors. (iii) Hence solve the equation
p
(
x
)
=
0
p(x)=0
p
(
x
)
=
0
.
Related theory
Factorisation of Polynomials
Polynomials
Division Algorithm for Polynomials
Polynomial Functions
Functions
Binomial theorem
Algebra
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