If a-b,a and a+b are zeros of polynomial f(x)=2xcube-6xsquare+5x-7,write the value of a
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Step-by-step explanation:
p(x)=2x
3
−6x
2
+5x−7
( a + b ), ( a ), ( a - b ) are the Zeroes of p(x).
As we know,
sum \: \: of \: \: zeroes \: = \frac{ - b}{a}sumofzeroes=
a
−b
a + b + a + a - b = \frac{ - ( - 6)}{2}a+b+a+a−b=
2
−(−6)
3a = \frac{6}{2}3a=
2
6
3a = 33a=3
a = 1a=1
Therefore, value of a is 1 .
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