Question

Find quadratic polynomial with zeros 5 and -2 ?

Answer 1

Answer:

Step-by-step explanation:

(S)Sum of zeroes: 5+(-2)=3

(P)Product of zeroes: 5×(-2)=-10

New polynomial: x^2 - (S)x + (P)=0

》x^2-3x+(-10)=0

》x^2-3x-10=0 [ is the required polynomial]

Answer 2

Answer:

$x^2-3x-10=0$

Step-by-step explanation:

The zeroes of quadratic equation is 5 and -2

So, this implies x-5=0 and x+2=0

So, $(x-5)(x+2)=0$

$x(x+2)-5(x+2)=0$

$x^2+2x-5x-10=0$

$x^2-3x-10=0$

Thus the quadratic polynomial is    $x^2-3x-10=0$