Question

If the sum of the zeros ofthe polynomial 5x^2-(3+k)x+7 is zero , then find the zeros of the polynomial 2x^2 -2(k+11)x +30

Answer 1

Step-by-step explanation:

5x^2 - (3+k) X + 7 = 0

here

a = 5

b = -(3+k)

c = 7

sum of zeros = -(b/a)

0 = -[-(3+k)] /5

3+k = 0

k = -3

now

2x^2 -2(-3+11)x + 30 = 0

2x^2 -16x + 30 = 0

2( x^2 -8x +15) = 0

x^2 -3x -5x +15 = 0

X( x-3) -5 ( x-3) = 0

(x-3) (x-5) = 0

X = 3,5