Question

find the zero of the quadratic polynomial 3 X square + 5 x minus 2 and verify the relationship between zero and the cofficent

Answer 1

Step-by-step explanation:

here the equation is,

p(x)=3x²+5x-2

now,zero of the polynomial is the value of x where p(x)=0

putting p(x)=0

3x²+5x-2=0

now we find there root by splitting term method

3x²+(6-1)x-2=0

3x²+6x-x-2=0

3x(x+2)-1(x+2)=0

(3x-1)(x+2)=0

so, x=>-2, 1/3

therefore alpha= -2 & beta= 1/3 are the zeroes of polynomials.