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The polynomial is exactly divisible by .
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
The polynomial
2
x
3
+
k
x
2
+
5
x
−
4
2x^3 + kx^2 + 5x - 4
2
x
3
+
k
x
2
+
5
x
−
4
is exactly divisible by
(
x
−
1
)
(x-1)
(
x
−
1
)
. (a) Find the value of
k
k
k
. (b) Hence factorise the polynomial completely.
Related theory
Division Algorithm for Polynomials
Polynomials
Functions
Nature and relations of roots
Algebra
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