Question

find the quadratic polynomial sum and product of whose zero and are -1 and20 respectively , find the zero of the polynomial so obtained​

Answer 1

Answer:

-10 & - 10

Step-by-step explanation:

Given the sum zeroes of the quadratic polynomial is - 1

-b/a = - 1 ( - gets cancelled)

Product of zeroes of the quadratic polynomial is 20

c/a=20

Therefore the values of a= 1 b=1 c=20

Substituting in the standard form is ax²+bx+c=0

x²+x+20

Zeroes are obtained by middle term splitting

x²+10x+10x+20

x(x+10)+10(x+10)

(x+10)(x+10)

Therefore the zeroes are obtained by

x+10 = 0

x= - 10 (similarly the second one)

Therefore the zeroes are - 10 & - 10