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VIVEKANANDA RESIDENTIAL SCHOOL, (Affiliated to C.B.S.E,, Delhi ~ School Code No. 130052 ), Vivekanandapuri, Karimnagar ~ 505001 (T.S.) 0878 - 2222768 /'2222769, ‘e-mail: [email protected] URL : www.vrschool.com, , , , , , , , , , , , , , WORKSHEET-1, Class: IX (Mathematics) Topic: Polynomials, , , , , , CASE STUDY -I, An object which is thrown into air subject to only acceleration of gravity is called, ‘projectile’, and its path is called trajectory. This curved path was shown by Galileo, to be a parabola. Parabola is represented by a polynomial. If the polynomial to, represent the distance covered is given by P(t) = 5t? —2t +1., Answer the following questions:, 1. What is the degree of the Polynomial P(t) = St? - 2t+1? [, a2 (5 (1 (ao, 2, Find the value of P(t) = 5t?-2t+1whent=2.[ |, (17 (18) 17 (@)-18, 3. The above polynomial is classified as __on the basis of number of terms.[, (a) trinomial —_(b) binomial (c) monomial_—_(d) none, 4. The name of the polynomial on the basis of degree is -t J, (a) quadratic (b) linear _—_(c) cubic (@) bi-quadratic, 5. If the equation of the polynomial is given by P(x) = x? — 5x +6, then its factors, are fd], (2) (-3)le-2)—(b) (3)le+2)—(c) +32) (A) (43) (+2), , CASE STUDY - IT, , VIVEKANANDA RESIDENTIAL SCHOOL Of Karimnagar decided different types of, tours for students to educate them. So, In Class-IX, 3 times the square of total, number of students planned to visit historical monuments, 14 times the total number, of students planned to visit Old age home while 21 students decided to teach poor, children. [Hint: Total students be x., Answer the following questions:, 1, Using the above information, express the total number of students as a, , polynomial in terms of ‘x. [ |, , (a) P(e) = 3x? — 14x +21 (b) PG) = 3x? + 14x +21, , (¢) P(x) = 3x? - 14-21 (@) P(x) = 3x? + 14x21, 2. Write the coefficient of ‘cin the polynomial P(x) =3x7+14x+21.. J, 3) 14 (21 (a -14, P.7.0)