- Important Polynomials Definitions
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- Geometric Meaning of the Zero's of the polynomial
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- Relation between coefficient and zero's of the Polynomial
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- Formation of polynomial when the zeros are given
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- Division algorithm for Polynomial

- NCERT Solutions Exercise 2.1
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- NCERT Solutions Exercise 2.2
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- NCERT Solutions Exercise 2.3
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- NCERT Solutions Exercise 2.4

- Polynomials important questions
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- Polynomials Problem and Solutions
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- Polynomial worksheets
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- Polynomial questions
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Given below are the Class 10 Maths Problems for Polynomials with solutions

a) cubic polynomials problems

b) quadratic polynomials Problems

c) Word Problems

a) cubic polynomials problems

b) quadratic polynomials Problems

c) Word Problems

Verify that 3, -1, -1/3 are the zeroes of the cubic polynomial $p(x)=3x^3-5x^2-11x-3$

Solution

Verify that -5,1/2,3/4 are zeroes of cubic polynomial $4y^3 + 20y + 2y -3$. Also verify the relationship between the zeroes and the coefficients.

Using division show that $3x^2 + 5$ is a factor of $6x^5 + 15x^4 + 16x^3 + 4x^2 + 10x - 35$.

Solution

Using division state whether $2y - 5$ is a factor of $4y^4 - 10y^3 - 10y^2 + 30y - 15$.

Solution

Check whether $g(x) = x^2 - 3$ is a factor of $p(x) = 2x^4 + 3x^3 - 2x^2 - 9x -12$ by applying division algorithm.

Solution

Check whether $p(x) = x^2 +3x +1$ is a factor of $g(x) = 3x^4+ 5x^3 - 7x^2+ 2x + 2$ by using division algorithm.

Solution

Find remainder when $x^3 - bx^2 + 5- 2b$ is divided by $x - b$.

Solution

Check whether polynomial $x - 3$ is a factor of the polynomial $x^3 - 3x^2 - x + 3$. Verify by division algorithm.

Solution

If $4x^4 + 7x^3 - 4x^2 - 7x + p$ is completely divisible by $x^3 - x$, then find the value of p.

Solution

If α and β are the zeroes of the quadratic polynomial $f(x) = kx^2 + 4x + 4$ such that α

Solution

If α and β are the zeroes of the quadratic polynomial $f(x) = 2x^2 - 5x + 7$, find a polynomial whose zeroes are 2α + 3β and 3α + 2β.

Solution

If the squared difference of the zeroes of the quadratic polynomial

$f(x) = x^2 + px + 45$ is equal to 144, find the value of p.

Solution

If α and β are the zeroes of the quadratic polynomial $f(x) = x^2 - p (x + 1) - c$, show that (α + 1) (β + 1) = 1 – c.

Solution

What must be subtracted from the polynomial $f(x) = x^4 + 2x^3 - 13x^2- 12x + 21$

so that the resulting polynomial is exactly divisible by $x^2 - 4x + 3$?

Solution

Verify that 1, 2 and -1/2 are zeroes of $2x^3 - 5x^2 + x + 2$. Also verify the relationship between the zeroes and the coefficients.

Solution

If α and β are the zeroes of the polynomial f(x) = x

Solution

Given below are the links of some of the reference books for class 10 math.

- Oswaal CBSE Question Bank Class 10 Hindi B, English Communication Science, Social Science & Maths (Set of 5 Books)
- Mathematics for Class 10 by R D Sharma
- Pearson IIT Foundation Maths Class 10
- Secondary School Mathematics for Class 10
- Xam Idea Complete Course Mathematics Class 10

You can use above books for extra knowledge and practicing different questions.

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