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Class 10 Maths Chpater 2 Polynomials

  Polynomials(Poly= many, Nomials=Terms) If a function f(x) is polynomial, highest power of x is called Degree of polynomial. For eg f(x)=ax+b can be said f(x) is polynomial of degree 1/ linear polynomial, f(x)=ax2+bx+c can be said f(x) is polynomial of degree 2/quadratic polynomial, f(x)=ax3+bx2+cx+d can be said f(x) is polynomial of degree 3/ Cubic Polynomial, Linear polynomials when drawn between x & y axis forms a straight line. Quadratic polynomials when drawn between x & y axis form parabolas or These parabolas can intersect x axis at 2 points, 1 point or no points No. of zeros means value of Y is 0 at that point. So 0 1 3 2 4 3   Assume α & β are zeros of equation f(x)=ax2+bx+c   ax2+bx+c= k(x- α )(x- β ) =k(x2- α x- β x+ α β ) =k(x2-( α + β )x+ α β ) ax2+bx+c =kx2-k( α + β )x+k α β a=k, b=-k( α + β ), c=k αβ it means –b/a= α + β & c/a= αβ For cubic equation of ax3+bx2+cx+d which has αβƔ as zer...