Polynomial Chapter – 2 Test – 2 Class 10th
1. A quadratic polynomial whose product and sum of zeroes are 1/3 and √2 respectively is
a) 3x^{2}+x−3√2
b) 3x^{2}−3√2 x+1
c) 3x^{2}−x+3√2
d) 3x^{2}+ 3√2x +1
2. The zeroes of the quadratic polynomial x^{2}+9x+20 are
a) –4 and 5
b) –4 and –5
c) 4 and –5
d) 4 and 5
3. The polynomial 9x^{2}+6x+4 has
a) many real zeroes
b) no real zeroes
c) two real zeroes
d) one real zero
4. The degree of a constant polynomial is
a) 2
b) 0
c) 1
d) 3
5. A polynomial whose sum and product of zeroes are –4 and 3 is
a) x^{2}+4x+3
b) x^{2}−4x+3
c) none of these
d) x^{2}−4x−3
6. The zeroes of a polynomial x^{2}+5x+6x are
a) one positive and one negative
b) both negative
c) both positive
d) both equal
7. The largest power of ‘x’ in p(x) is the _________ of the polynomial.
a) degree
b) zero
c) root
d) solution
8. The number polynomials having zeroes as –2 and 5 is
a) 3
b) 1
c) more than 3
d) 2
9. Given that one of the zeroes of the cubic polynomial ax3+bx2+cx+d is zero, then the product of the other two zeroes is
a) −b/a
b) −c/a
c) c/a
d) b/a
10. The degree of the polynomial 5x^{3}−3x^{2}−x+√2 is
a) 0
b) 1
c) 2
d) 3
Polynomial Chapter  2 Quiz 2 Class 10th
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Question 1 of 10
1. Question
A quadratic polynomial whose product and sum of zeroes are 1/3 and √2 respectively is
Correct
Given: α+β = −b/a =√2/1=−(−√2)/1=−(−3√2)/3
And αβ=c/a=1/3
On comparing, we get, a=3,b=−3√2,c=1
Putting these values in general form of a quadratic polynomial ax2+bx+c,
we have 3x^{2}−3√2x+1Incorrect
Given: α+β = −b/a =√2/1=−(−√2)/1=−(−3√2)/3
And αβ=c/a=1/3
On comparing, we get, a=3,b=−3√2,c=1
Putting these values in general form of a quadratic polynomial ax2+bx+c,
we have 3x^{2}−3√2x+1 
Question 2 of 10
2. Question
The zeroes of the quadratic polynomial x^{2}+9x+20 are
Correct
(x^{2}+9x+20)=0
Splitting the middle term, we get
x^{2}+5x+4x+20=0
= x(x+5)+4(x+5)=0
= (x+5)(x+4)=0
∴x+5=0 and x+4=0
⇒x=−5 and x=−4Incorrect
(x^{2}+9x+20)=0
Splitting the middle term, we get
x^{2}+5x+4x+20=0
= x(x+5)+4(x+5)=0
= (x+5)(x+4)=0
∴x+5=0 and x+4=0
⇒x=−5 and x=−4 
Question 3 of 10
3. Question
The polynomial 9x^{2}+6x+4 has
Correct
The polynomial 9x^{2}+6x+4 has no real zeroes because it is not factorizing.
Incorrect
The polynomial 9x^{2}+6x+4 has no real zeroes because it is not factorizing.

Question 4 of 10
4. Question
The degree of a constant polynomial is
Correct
The degree of a constant polynomial is 0. e.g. 5 = 5x^{0}
Incorrect
The degree of a constant polynomial is 0. e.g. 5 = 5x^{0}

Question 5 of 10
5. Question
A polynomial whose sum and product of zeroes are –4 and 3 is
Correct
x^{2}– (Sum the Zeroes)x + (Product of Zeroes)
x^{2} – (4)x + 3
= x^{2} + 4x + 3Incorrect
x^{2}– (Sum the Zeroes)x + (Product of Zeroes)
x^{2} – (4)x + 3
= x^{2} + 4x + 3 
Question 6 of 10
6. Question
The zeroes of a polynomial x^{2}+5x+6x are
Correct
x^{2}+5x+6
= x^{2}+3x+2x+6
= x(x+3)+2(x+3)
= (x+3)(x+2)
x+3=0 or x+2=0
⇒ x=−3 or x=−2Incorrect
x^{2}+5x+6
= x^{2}+3x+2x+6
= x(x+3)+2(x+3)
= (x+3)(x+2)
x+3=0 or x+2=0
⇒ x=−3 or x=−2 
Question 7 of 10
7. Question
The largest power of ‘x’ in p(x) is the _________ of the polynomial.
Correct
The largest power of ‘x’ in p(x) is the degree of the polynomial.
Incorrect
The largest power of ‘x’ in p(x) is the degree of the polynomial.

Question 8 of 10
8. Question
The number polynomials having zeroes as –2 and 5 is
Correct
The number polynomials having zeroes as –2 and 5 is more than 3.
If ‘S’ is the sum and ‘P’ is the product of the zeroes then the corresponding family of quadratic polynomial is given by
p(x)=k(x^{2}−Sx+P)where k is any real number.
Therefore putting different values of k, we can make more than 3 numbers of polynomials.Incorrect
The number polynomials having zeroes as –2 and 5 is more than 3.
If ‘S’ is the sum and ‘P’ is the product of the zeroes then the corresponding family of quadratic polynomial is given by
p(x)=k(x^{2}−Sx+P)where k is any real number.
Therefore putting different values of k, we can make more than 3 numbers of polynomials. 
Question 9 of 10
9. Question
Given that one of the zeroes of the cubic polynomial ax
+bx^{2}+cx+d is zero, then the product of the other two zeroes is Correct
Let α,β,γ are the zeroes of the given polynomial. Given : α=0
To find: βγ
Since, αβ+βγ+γα=c/a
∴0×β + βγ + γ × 0 =c/a ⇒βγ=c/aIncorrect
Let α,β,γ are the zeroes of the given polynomial. Given : α=0
To find: βγ
Since, αβ+βγ+γα=c/a
∴0×β + βγ + γ × 0 =c/a ⇒βγ=c/a 
Question 10 of 10
10. Question
The degree of the polynomial 5x^{3}−3x^{2}−x+√2 is
Correct
The degree of the polynomial 5x^{3}−3x^{2}−x+√2 is 3.
The degree of a polynomial is the highest power of that polynomial.Incorrect
The degree of the polynomial 5x^{3}−3x^{2}−x+√2 is 3.
The degree of a polynomial is the highest power of that polynomial.