if one zero of the quadratic polynomial x²-5x-6 is 6 , then find the other zero.
Question
if one zero of the quadratic polynomial x²-5x-6 is 6 , then find the other zero.
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Mathematics
2 years
2021-07-03T10:54:46+00:00
2021-07-03T10:54:46+00:00 2 Answers
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Answers ( )
Answer:
Step-by-step explanation:
p(x)=x²-5x+6
but p(x)=0
so,x²-5x+6=0
⇒x²-3x-2x+6=0
⇒x(x-3)-2(x-3)=0
⇒(x-3)(x-2)=0
⇒x=3 or 2
hence, other zero are 3 and 2
Answer:
For zeros of the polynomial (x-6)(x+1) must be equal to zero. Hence, the other zero of the given polynomial is x = -1.