find the quadratic polynomial whose zeros is 2 and product is -8 hence find the zeros of the polynomial, please explain the solution to this problem

Asked by gganga | 30th Jul, 2016, 10:13: AM

Expert Answer:

begin mathsize 16px style One space of space the space zero space equals space 2
Product space of space the space zeroes space equals space minus 8 space
rightwards double arrow Other space zero space equals space fraction numerator negative 8 over denominator 2 end fraction equals negative 4
rightwards double arrow Sum space of space the space zeroes space equals space 2 space plus space left parenthesis negative 4 right parenthesis equals 2 minus 4 equals negative 2

The space quadratic space polynomial space is space space
straight x squared space minus space left parenthesis sum space of space zeroes right parenthesis straight x space plus space product space of space zeroes
straight i. straight e. space straight x squared space minus space left parenthesis negative 2 right parenthesis straight x space plus left parenthesis negative 8 right parenthesis
straight i. straight e. space straight x squared plus 2 straight x minus 8 end style

Answered by Rashmi Khot | 1st Aug, 2016, 11:12: AM