find the quadratic polynomial whose zeroes are given by 3 and-5
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Answer:
A polynomial of the form
p
(
x
)
=
a
x
2
+
b
x
+
c
, where
a
≠
0
is called a quadratic polynomial.
What is general form of Quadratic polynomial
Zeros of Quadratic Polynomial: Definition
A real number
"
k
"
of a quadratic polynomial
p
(
x
)
is 0 if
p
(
k
)
=
0
.
Consider the polynomial:
p
(
x
)
=
x
2
−
3
x
−
4
Let's find the value of the polynomial at
x
=
−
1
by substituting -1 for
x
in
p
(
x
)
.
p
(
−
1
)
=
(
−
1
)
2
−
3
(
−
1
)
−
4
=
1
+
3
−
4
=
0
So, here
x
=
−
1
is a zero of the quadratic polynomial
p
(
x
)
=
x
2
−
3
x
−
4
.
Step-by-step explanation:
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