Chapter 2 – Polynomials

Are the following statements ‘True’ or ‘False’? Justify your answers. (iii) If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial. Are the following statements ‘True’ or ‘False’? Justify your answers. (iii) If the graph of a polynomial intersects the x-axis at exactly two points [...]

Are the following statements ‘True’ or ‘False’? Justify your answers. (ii) If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial. Are the following statements ‘True’ or ‘False’? Justify your answers. (ii) If the graph of a polynomial intersects the x-axis at only one point it [...]

Are the following statements ‘True’ or ‘False’? Justify your answers. (i) If the zeroes of a quadratic polynomial ax^2 + bx + c are both positive, then a, b and c all have the same sign. Are the following statements ‘True’ or ‘False’? Justify your answers. (i) If the zeroes of a quadratic polynomial ax^2 [...]

(v) Can the quadratic polynomial x^2 + kx + k have equal zeroes for some odd integer k > 1 ? (v) Can the quadratic polynomial x^2 + kx + k have equal zeroes for some odd integer k > 1 ? November 22, 2020 Category: Chapter 2 - Polynomials , Maths , NCERT Class [...]

(iv) If on division of a non-zero polynomial p(x) by a polynomial g(x), the remainder is zero, what is the relation between the degrees of p(x) and g(x)? (iv) If on division of a non-zero polynomial p(x) by a polynomial g(x) the remainder is zero what is the relation between the degrees of p(x) and [...]

(iii) If on division of a polynomial p(x) by a polynomial g(x), the quotient is zero, what is the relation between the degrees of p(x) and g(x)? (iii) If on division of a polynomial p(x) by a polynomial g(x) the quotient is zero what is the relation between the degrees of p(x) and g(x)? November [...]

(ii) What will the quotient and remainder be on division of ax^2+ bx + c by px^3 + qx^2 + rx + s, p ≠ 0? (ii) What will the quotient and remainder be on division of ax^2+ bx + c by px^3 + qx^2 + rx + s p ≠ 0? November 22, 2020 [...]

(i) Can x^2 – 1 be the quotient on division of x^6 + 2x^3 + x – 1 by a polynomial in x of degree 5? (i) Can x^2 – 1 be the quotient on division of x^6 + 2x^3 + x – 1 by a polynomial in x of degree 5? November 22, 2020 [...]

Which of the following is not the graph of a quadratic polynomial? Which of the following is not the graph of a quadratic polynomial? November 22, 2020 Category: Chapter 2 - Polynomials , Maths , NCERT Class 10 ,

If one of the zeroes of a quadratic polynomial of the form x^2+ ax + b is the negative of the other, then it If one of the zeroes of a quadratic polynomial of the form x^2+ ax + b is the negative of the other then it November 22, 2020 Category: Chapter 2 - [...]