Polynomials Worksheet Grade 9 with PDF

                                                           Polynomials  Worksheet  1. Which of the following is a true statement? (a)   is  a monomial                            (b)  is a linear polynomial (c)  x+1 is monomial                                 (d)   is a binomial 2. A quadratic polynomial whose product and sum of zeroe are    and  …

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Relationship between Zeros and coefficients of a Polynomial

Relationship between Zeros and coefficients of a Polynomial zeros of a polynomial : A real number is called a zero of the polynomial , if . If “” is a zero of a polynomial  , then by factor theorem  is  a factor of a given polynomial. The relation between the zeros and the coefficients of a polynomial is given below. Linear Polynomial: The linear polynomial is an expression , in which the degree of the polynomial is 1 . The general form of a linear polynomial is  . Here,  is a variable, “a” and “b” are constant. Let      be …

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Remainder Theorem

Zeros of polynomials: The value of a polynomial      at    is  obtained by putting    in and is denoted by  . e.g.  Find the value of    at  . Sol. On  putting    in given polynomial , we get This implies  . Thus value of at    is 12.  We say that a zero of a polynomial  is a number  such that .  It means is  zero of  a polynomial    if the value of that polynomial at  is  zero. The zeros of polynomials is obtained by  equating  the given polynomial  .  We say  is a polynomial equation and is …

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Polynomials : Definition, Types of polynomials and Examples, Degree of a polynomial

Polynomial:  An algebraic expression is an expression which is made up of variables and constants along with some algebraic operations.  The several parts of an algebraic expression seperated by + or – operations are called the terms of the  expression. e.g. (i)   is  an algebraic expression with three terms  and three variables . (ii)   is  an algebraic expression with three terms  and two variables . (iii)    is  an algebraic expression with two terms  and one variable . (iv)      is  an algebraic expression with one terms  and one variable. In an algebraic expression , if the …

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zeros of quadratic polynomials

Geometrical interpretation  of zeros of quadratic  polynomials: A polynomial of degree 2 is called a quadratic polynomial.  For any quadratic polynomial , , the graph of the corresponding equation     has one of the two shapes either open upwards like U or open   downwards like ,   ∩   depending on whether a > 0 or a < 0. (These curves are called parabolas.)  The zeroes of a quadratic polynomial ,  are precisely the  x-coordinates of the points where the parabola representing intersects the x-axis. Now the following three cases can happen. Case-(i)   The graph cuts x-axis at two distinct points. …

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