## X- Table of Contents

Real Numbers Real Numbers EXERCISE 1.1 Real numbers EXERCISE 1.2 Real Numbers EXERCISE 1.3 Real numbers Exercise 1.4 2. Polynomials Polynomials – Exercise 2.1 Polynomials -Exercise 2.2 Polynomials – Exercise 2.3 Polynomials – Exercise 2.4 3. Linear equations in two variables Linear equations in two variables – Exercise 3.1 Linear equations in two variables – Exercise… Continue reading X- Table of Contents

Real Numbers Real Numbers EXERCISE 1.1 Real numbers EXERCISE 1.2 Real Numbers EXERCISE 1.3 Real numbers Exercise 1.4 2. Polynomials Polynomials – Exercise 2.1 Polynomials -Exercise 2.2 Polynomials – Exercise 2.3 Polynomials – Exercise 2.4 3. Linear equations in two variables Linear equations in two variables – Exercise 3.1 Linear equations in two variables – Exercise… Continue reading X- Table of Contents – CBSE

## Polynomials – Exercise 2.4 – Class 10

1. Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in each case: (i) 2x3 + x2 – 5x + 2; 1/2 , 1, -2 (ii) x3 - 4x2 + 5x – 2; 2,1,1 Solution: (i) 2x3 + x2 – 5x… Continue reading Polynomials – Exercise 2.4 – Class 10

## Polynomials – Exercise 2.3 – Class 10

1. Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:  (i) p(x) = x3 – 3x2 + 5x – 3 ; g(x) = x2 – 2 (ii) p(x) = x4 – 3x2 + 4x + 5 ; g(x) = x2 + 1 – x (iii) p(x)… Continue reading Polynomials – Exercise 2.3 – Class 10

## Polynomials -Exercise 2.2 – Class 10

1. Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.  (i) x2 – 2x – 8 (ii) 4s2 – 4s + 1 (iii) 6x2 – 3 – 7x (iv) 4u2 + 8u (v) t2 – 15 (vi) 3x2 – x – 4 Solution: (i) x2 – 2x… Continue reading Polynomials -Exercise 2.2 – Class 10

## Polynomials – Exercise 2.1 – Class 10

1. The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case. (i) (ii) (iii) (iv) (v) (vi) Solution: (i) The number of zeroes is 0 as the graph does not cut the x-axis at any point. (ii)The number of zeroes is… Continue reading Polynomials – Exercise 2.1 – Class 10