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Byju's Answer
Standard IX
Mathematics
Value of a polynomial
The zero of t...
Question
The zero of the polynomial
p
(
x
)
=
4
x
+
3
lies at
x
=
.
A
−
4
3
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B
−
3
4
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C
1
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D
3
4
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Solution
The correct option is
B
−
3
4
The zero of a polynomial is the point at which it cuts the x-axis.
Hence,
p
(
x
)
=
0
⇒
4
x
+
3
=
0
⇒
x
=
−
3
4
.
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0
Similar questions
Q.
Verify that:
(i) 4 is a zero of the polynomial p(x) = x − 4.
(ii) −3 is a zero of the polynomial p(x) = x − 3.
(iii)
-
1
2
is a zero of the polynomial p(y) = 2y + 1.
(iv)
2
5
is a zero of the polynomial p(x) = 2 − 5x.
(v) 1 and 2 are the zeros of the polynomial p(x) = (x − 1)(x − 2).
(vi) 0 and 3 are the zeros of the polynomial p(x) = x
2
− 3x.
(vii) 2 and −3 are the zeros of the polynomial p(x) = x
2
+ x − 6.
Q.
The zero of the polynomial p(x)=4x+3 lies at what value of x?
Q.
Zero of the polynomial
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)
=
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x
+
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is
Q.
If the zeroes of p(x) are double the zeroes of the polynomial q(x) =
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x
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Q.
Verify that
(i) 4 is a zero of the polynomial, p(x) = x - 4.
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