Question

Find the zeros of the following quadratic polynomials and verify the relations
between the zeros and the coefficients:
1. X? + 3x - 10
2. x? - 2x -8​

Answer 1

Answer

Step of explanation

1) x2+3x-10

x2-2x+5x-10

x(x-2) +5(x-2)

(x+5)(x-2)

x=-5 and x=2

-5 and 2 are the zeroes.

Let alpha= -5 and beta =2

since -5+2=-3

-3 = -3 verified

since -5*2=-10

-10=-10 verified

2) x2+2x-4x-8

x(x+2)-4(x+2)

(x-4) (x+2)

x=4 and x=-2

zeros are 4 and -2

Let alpha=-2 and beta =4

since -2+4=2

2=2 verified

since -2*4=-8

-8=-8 verified