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Standard IX
Mathematics
Geometrical Meaning of Zeros of Polynomial
6. A cubic po...
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6. A cubic polynomial fx)axbx2 + cx + d hasa graph which touches the x-axis at 2, has anox-intercept at-1 and has y-intercept at -2 as shown. Thevalue of, a +b+c+ d equals to431/2 3 42
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Q.
A cubic polynomial
f
(
x
)
=
a
x
3
+
b
x
2
+
c
x
+
d
has a graph which is tangent to the x - axis at 2 has another x-intercept at -1 and has y-intercept at -2 as shown The values of a+b+c+d equals
Q.
The graph of a cubic polynomial
y
=
a
x
3
+
b
x
2
+
c
x
+
d
is shown. Find the coefficients
a
,
b
,
c
and
d
.
Q.
A polynomial
a
x
3
+
b
x
2
+ cx + d intersects the x - axis at 1 and -1, and y - axis at 2. The value of b is:
Q.
The graph of the quadratic polynomial
y
=
a
x
2
+
b
x
+
c
has its vertex at
(
4
,
−
5
)
and two
x
intercepts, one positive and one negative. Which of the following hold(s) good?
Q.
A normal to the hyperbola
x
2
4
−
y
2
1
=
1
has equal intercepts on positive x- and y-axis. If this normal touches the ellipse
x
2
a
2
+
y
2
b
2
=
1
, then
a
2
+
b
2
is equal to
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