English mein solve karo

Here are the solutions to your questions: 1. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. 1(i) 4x^2 - 3x + 7 This is a polynomial in one variable. Reason: The expression has only one variable x, and the powers of x (2, 1, 0) are all whole numbers. 1(ii) y^2 + sqrt(2) This is a polynomial in one variable. Reason: The expression has only one variable y, and the powers of y (2, 0) are all whole numbers. 1(iii) 3sqrt(t) + tsqrt(2) This is not a polynomial. Reason: The expression can be written as 3t^1/2 + tsqrt(2). Here, the power of the variable t is 1/2, which is not a whole number. 1(iv) y + (2)/(y) This is not a polynomial. Reason: The expression can be written as y + 2y^-1. Here, the power of the variable y is -1, which is not a whole number. 1(v) x^10 + y^3 + t^50 This is not a polynomial in one variable. Reason: The expression has three different variables x, y, and t. 2. Write the coefficients of x^2 in each of the following. 2(i) 2 + x^2 + x The coefficient of x^2 is 1. 2(ii) 2 - x^2 + x^3 The coefficient of x^2 is -1. 2(iii) ()/(2)x^2 + x The coefficient of x^2 is ()/(2). 2(iv) sqrt(2)x - 1 There is no x^2 term, so its coefficient is 0. 3. Give one example each of a binomial of degree 35, and of a monomial of degree 100. Binomial of degree 35: A binomial has two terms, and the degree 35 means the highest power of the variable is 35. Example: x^35 + 9 Monomial of degree 100: A monomial has one term, and the degree 100 means the power of the variable is 100. Example: 4y^100 4. Write the degree of each of the following polynomials. 4(i) 5x^3 + 4x^2 + 7x The degree of a polynomial is the highest power of the variable. Here, the highest power is 3. Degree: 3 4(ii) 4 - y^2 Here, the highest power is 2. Degree: 2 4(iii) 5t - sqrt(7) Here, the highest power is 1. Degree: 1 4(iv) 3 This is a constant polynomial, which can be written as 3x^0. Degree: 0 5. Classify the following as linear, quadratic and cubic polynomials. 5(i) x^2 + x The degree of this polynomial is 2. It is a quadratic polynomial. 5(ii) x - x^3 The degree of this polynomial is 3. It is a cubic polynomial. 5(iii) y + y^2 + 4 The degree of this polynomial is 2. It is a quadratic polynomial. 5(iv) 1 + x The degree of this polynomial is 1. It is a linear polynomial. 5(v) 3t The degree of this polynomial is 1. It is a linear polynomial. 5(vi) r^2 The degree of this polynomial is 2. It is a quadratic polynomial. 5(vii) 7x^3 The degree of this polynomial is 3. It is a cubic polynomial. That's 2 down. 3 left today — send the next one.