find zeros and verify the relation between zeroes and coefficients of the polynomial 5×2+10x+5 About the author Rylee
Answer: Given polynomial is 5x 2 −8x−4 Here, a=5,b=−8 and c=−4 5x 2 −8x−4=5x 2 −10x+2x−4 =5x(x−2)+2(x−2) =(x−2)(5x+2) So, the value of 5x 2 −8x−4 is zero when x=2 or x= 5 −2 Threrfore , the zeroes of 5x 2 −8−4 are 2 and 5 −2 . Now, sum of zeroes =2+( 5 −2 )= 5 8 = a −b product of zeroes =2×( 5 −2 )= 5 −4 = a c Hence verified. Reply
Answer:
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Answer:
Given polynomial is 5x
2
−8x−4
Here, a=5,b=−8 and c=−4
5x
2
−8x−4=5x
2
−10x+2x−4
=5x(x−2)+2(x−2)
=(x−2)(5x+2)
So, the value of 5x
2
−8x−4 is zero when x=2 or x=
5
−2
Threrfore , the zeroes of 5x
2
−8−4 are 2 and
5
−2
.
Now, sum of zeroes =2+(
5
−2
)=
5
8
=
a
−b
product of zeroes =2×(
5
−2
)=
5
−4
=
a
c
Hence verified.