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Consider the quadratic polynomials and .
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
Consider the quadratic polynomials
p
(
x
)
=
1
2
x
2
−
4
x
+
1
p(x)=\dfrac{1}{2}x^{2}-4x+1
p
(
x
)
=
2
1
x
2
−
4
x
+
1
and
q
(
x
)
=
3
x
2
+
2
x
−
7
q(x)=3x^{2}+2x-7
q
(
x
)
=
3
x
2
+
2
x
−
7
. (i) Find the sum of the zeros of
p
(
x
)
p(x)
p
(
x
)
. (ii) Find the sum of the zeros of
q
(
x
)
q(x)
q
(
x
)
. (iii) State which polynomial has the larger sum of zeros.
Related theory
Polynomials
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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