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Consider the quadratic polynomial .
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
Consider the quadratic polynomial
p
(
x
)
=
2
x
2
−
7
x
+
3
p(x)=2x^{2}-7x+3
p
(
x
)
=
2
x
2
−
7
x
+
3
. (i) Factorise
p
(
x
)
p(x)
p
(
x
)
completely. (ii) Hence find the zeros of
p
(
x
)
p(x)
p
(
x
)
. (iii) Verify that the sum and the product of the obtained zeros are equal to
−
b
a
-\dfrac{b}{a}
−
a
b
and
c
a
\dfrac{c}{a}
a
c
respectively for the given polynomial.
Related theory
Polynomials
Factorisation of Polynomials
Quadratic Equations
Algebra
Relationship between zeroes and coefficients
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