Question

decimal the product of the zeros of a quadratic polynomial are minus 3 by 5 and 2 respectively form the quadratic polynomial​

Answer 1

Consider @ and ß to be the zeros of the required polynomial

Let f(x) be the required polynomial.

Given:

@+ß= -3/5

and @ß=2

Required polynomial,

f(x)=x^2 -(@+ß)x +@ß

=x^2-(-3/5)x+2

=x^2+3/5x+2

=5x^2+3x+10

Thus, 5x^2+3x+10 is the required polynomial

Additional Info:

A quadratic equation is a mathematical expression,where x is a variable and a,b, and c represent the desired numbers and a≠0.

Roots of a quadratic equation can be found by three methods:

1. Splitting the middle term

2. Completing the square method

3. Quadratic formula

A polynomial and an equation are quite different,but an equation is directly assumed to be equal to zero whereas a polynomial is a mathematical expression