The zeros of the quadratic polynomial polynomial x2-15x+50 are (I) both negative (ii) one positive and one negative (iii) both positive (IV) both equal
Answers
Answer:
Option (iii) is correct
Step-by-step explanation:
Given that,
polynomial p(x)=x²-15x+50
let,p(x)=0
⇒x²-15x+50=0
(∵+50 factors are -10 & -5 to get their sum as-15) & (∵Splitting of -15x is -10x & -5x)
⇒x²-10x-5x+50=0
⇒x(x-10)-5(x-10)=0
⇒(x-5)(x-10)=0
case-(1): | case-(2):
⇒x-5=0 | ⇒x-10=0
⇒x=5 | ⇒x=10
∴the zeroes of the polynomial are x= 5 & 10
The both zeroes are positive.
HOPE THIS WOULD BE HELPFUL FOR YOU
Answer:
Option (iii) is correct
Step-by-step explanation:
Given that,
polynomial p(x)=x²-15x+50
let,p(x)=0
⇒x²-15x+50=0
(∵+50 factors are -10 & -5 to get their sum as-15) & (∵Splitting of -15x is -10x & -5x)
⇒x²-10x-5x+50=0
⇒x(x-10)-5(x-10)=0
⇒(x-5)(x-10)=0
case-(1): | case-(2):
⇒x-5=0 | ⇒x-10=0
⇒x=5 | ⇒x=10
∴the zeroes of the polynomial are x= 5 & 10
The both zeroes are positive.
HOPE THIS WOULD BE HELPFUL FOR YOU