Question

Verify that 3, -1 and 3 are the zeros of the cubic polynomial p(x) = 3x - 5x2 - 11x - 3 and verify the relation between its zeros and coefficients.

11th - 12th Class

Maths

Solution

769

4.0 (1 ratings)

( f(x)=3 x^{3}-5 x^{2}-11 x-3 ) ( f(-1)=-3-5+11-3 ) ( =0 ) ( (x+1) ) is a factor. ( begin{aligned} 3 x^{2} x+11-8 x cdot(x+1)-3(x+1) & text { (x) } left(3 x^{2}-8 x-3right)(x+1) & text { (3x }-9 x+x-3)(x+1) (3 x(x-3)+x-3&(x+1) (3 x+1)(x-3)(x+1) end{aligned} )