Class 10 Ch-2 Polynomials Worksheet - Goyanka Maths Study - GMS - Learning Simply
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Class 10 Ch-2 Polynomials Worksheet - Goyanka Maths Study

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Given below are the Class 10 Maths Worksheet for Polynomials
a. cubic polynomials problems
b. quadratic polynomials Problems
c. Word Problems
Question 1
Verify the 1/2 ,1, -2 are zeroes of cubic polynomial 2x3+x25x+2. Also verify the relationship between the zeroes and their coefficients.


Question 2
p and q are zeroes of the quadratic polynomial x2(k+6)x+2(2k1). Find the value of k if 2(p+q)=pq


Question 3
m, n are zeroes of ax25x+c. Find the value of a and c if m+n=m×n=10.

Question 4
If a and b are zeroes of the x2+7x+7, find the value of a1+b12ab


Question 5
Find remainder when x3ax2+6a is divided by (x - a).

Question 6
If p and q are zeroes of f(x)=x25x+k, such that pq=1, find the value of k.

Question 7
Given that two of the zeroes of the cubic polynomial ax3+bx2+cx+d are 0, then find the third zero.


Question 8
If the zeroes of the quadratic polynomial x2+(a+1)x+b are 2 and -3, then find the value of a and b.




Question 9
If one of the zeroes of the cubic polynomial x3+ax2+bx+c is -1, then find the product of the other two zeroes.

Question 10
If a-b, a a+b , are zeroes of x36x2+8x, then find the value of b

Question 11
Find a quadratic polynomial, the sum and product of whose zeroes are √2 and -3/2 respectively. Also, find its zeroes.

Question 12
Given that the zeroes of the cubic polynomial x36x2+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 as well as the zeroes of the given polynomial.

Question 13
Check whether g(x) is a factor of f(x) by dividing f(x) by g(x):
f(x)=2x4+4x35x22x+2g(x)=x2+2x2.

Question 14
Find the zeroes of the quadratic polynomial x2+x12 and verify the relationship between the zeroes and the coefficients.

Question 15
If a and b are zeroes of the polynomial f(x)=2x27x+3, find the value of a2+b2.

Question 16
Quadratic polynomial 4x2+12x+9 has zeroes as p and q . Now form a quadratic polynomial whose zeroes are p1 and q1

Question 17
If one zero of the polynomial 2x25x(2k+1) is twice the other, find both the zeroes of the polynomial and the value of k.

Question 18
If m and n are the zeroes of the quadratic polynomial f(x)=x2px+q, then find the values of:
a. m2+n2
b. m1+n1



Question 19
If the zeroes of the polynomial f(x)=x312x2+39x+k are in A. P., find the value of k.

Question 20
Using division show that 3y2+5 is a factor of 6y5+15y4+16y3+4y2+10y35.


About the Author

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s visio…

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