Answer :
Answer:
αβ =5
Step-by-step explanation:
HCF of 6 and 72
Factors of 6: 1, 2, 3, 6
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The common factors are: 1, 2, 3, 6
So, the HCF is 6.
Zeros of the Polynomial [tex]f(x)=x^2-3x+5[/tex]
The polynomial [tex]f(x)=x^2-3x+5[/tex]can be factored to find its zeros α and β
The zeros are the solutions to the equation [tex]f(x)=0[/tex]
To find the zeros, using quadratic formula:
For the polynomial [tex]x^2-3x+5[/tex]; [tex]a=1, b = -3, c=5[/tex]
Putting these values into the quadratic formula we get:
[tex]x=\frac{3+-\sqrt{11i} }{2}[/tex]
So after multiplying we get:
αβ [tex]=5[/tex]
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