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class 10
| math
| polynomials
Solutions for all the questions from class 10
of subject math
of chapter polynomials
CLASS
11
12
class 10
class 11
class 12
class 13
class 6
class 7
class 8
class 9
SUBJECT
math
CHAPTER
area related to circles
areas related to circles
arithmetic progressions
circles
constructions
control and coordination
coordinate geometry
heron's formula
introduction to trigonometry
limits and derivatives
View All ↓
Class 10
Math
All topics
Polynomials
Verify that
$−5,21 ,43 $
are zeros of cubic polynomial
$8x_{3}+30x_{2}−47x+15$
. Also verify the relationship between the zeros and the coefficients.
Class 10
Math
All topics
Polynomials
Given that the zeros of the cubic polynomial
$x_{3}−6x_{2}+3x+10$
are of the form
$a,a+b,a+2b$
for some real numbers
$a$
and
$b$
, find the values of
$a$
and
$b$
Class 10
Math
All topics
Polynomials
If
$a−b,a,a+b$
are zero of polynomial
$x_{3}−3x_{2}+x+1$
, then find
$a$
and
$b$
.
Class 10
Math
All topics
Polynomials
If the zeros of the polynomial
$x_{3}−3x_{2}+x+1$
are
$a−b,a,a+b$
, then the value of
$a+b$
is
Class 10
Math
All topics
Polynomials
If
$α,β,γ$
are the zeroes of the cubic polynomial
$x_{3}+4x+2$
, then find the value of
$α+β1 +β+γ1 +γ+α1 $
Class 10
Math
All topics
Polynomials
Find all zeroes of the polynomial
$2x_{3}+x_{2}−6x−3$
if two of its zeroes are
$−3 $
&
$3 $
Class 10
Math
All topics
Polynomials
Find the cubic polynomial with the sum of zeroes, sum of the products of its zeroes taken two at a time and product of its zeroes as
$−4,21 ,3−1 $
Class 10
Math
All topics
Polynomials
On dividing
$x_{3}−3x_{2} +x+2$
by a polynomial g(x), the quotient and remainder were
$(x−2)$
and
$(−2x+4)$
, respectively. Find
$g(x).$
Class 10
Math
All topics
Polynomials
Obtain all other zeroes of
$3x_{4}+6x_{3}−2x_{2}−10x−5$
, if two of its zeroes are
$35 $
and
$−35 $
.
Class 10
Math
All topics
Polynomials
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:
(i)
$t_{2}−3,2t_{4}+3t_{3}−2t_{2}−9t−12$
(ii)
$x_{2}+3x+1,3x_{4}+5x_{3}−7x_{2}+2x+2$
(iii)
$x_{3}−3x+1,x_{5}−4x_{3}+x_{2}+3x+1$
1
2
3
4
5
6
7
8
9
10
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class 10
| math
| polynomials
Solutions for all the questions from class 10
of subject math
of chapter polynomials
Filter Results
CLASS
11
12
class 10
class 11
class 12
class 13
class 6
class 7
class 8
class 9
SUBJECT
math
CHAPTER
area related to circles
areas related to circles
arithmetic progressions
circles
constructions
control and coordination
coordinate geometry
heron's formula
introduction to trigonometry
limits and derivatives
View All ↓
Class 10
Math
All topics
Polynomials
Verify that
$−5,21 ,43 $
are zeros of cubic polynomial
$8x_{3}+30x_{2}−47x+15$
. Also verify the relationship between the zeros and the coefficients.
Class 10
Math
All topics
Polynomials
Given that the zeros of the cubic polynomial
$x_{3}−6x_{2}+3x+10$
are of the form
$a,a+b,a+2b$
for some real numbers
$a$
and
$b$
, find the values of
$a$
and
$b$
Class 10
Math
All topics
Polynomials
If
$a−b,a,a+b$
are zero of polynomial
$x_{3}−3x_{2}+x+1$
, then find
$a$
and
$b$
.
Class 10
Math
All topics
Polynomials
If the zeros of the polynomial
$x_{3}−3x_{2}+x+1$
are
$a−b,a,a+b$
, then the value of
$a+b$
is
Class 10
Math
All topics
Polynomials
If
$α,β,γ$
are the zeroes of the cubic polynomial
$x_{3}+4x+2$
, then find the value of
$α+β1 +β+γ1 +γ+α1 $
Class 10
Math
All topics
Polynomials
Find all zeroes of the polynomial
$2x_{3}+x_{2}−6x−3$
if two of its zeroes are
$−3 $
&
$3 $
Class 10
Math
All topics
Polynomials
Find the cubic polynomial with the sum of zeroes, sum of the products of its zeroes taken two at a time and product of its zeroes as
$−4,21 ,3−1 $
Class 10
Math
All topics
Polynomials
On dividing
$x_{3}−3x_{2} +x+2$
by a polynomial g(x), the quotient and remainder were
$(x−2)$
and
$(−2x+4)$
, respectively. Find
$g(x).$
Class 10
Math
All topics
Polynomials
Obtain all other zeroes of
$3x_{4}+6x_{3}−2x_{2}−10x−5$
, if two of its zeroes are
$35 $
and
$−35 $
.
Class 10
Math
All topics
Polynomials
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:
(i)
$t_{2}−3,2t_{4}+3t_{3}−2t_{2}−9t−12$
(ii)
$x_{2}+3x+1,3x_{4}+5x_{3}−7x_{2}+2x+2$
(iii)
$x_{3}−3x+1,x_{5}−4x_{3}+x_{2}+3x+1$
1
2
3
4
5
6
7
8
9
10
Previous
page
1 / 2
You're on page
1
page
2
Next
page
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