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Question

For a quadratic polynomial p(x)=ax2+bx+c,α+β=2 and αβ=8 where α,β are zeroes of p(x).
The value of a,b and c is ________ respectively.

A
a,2a,8a
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B
a,2a,8a
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C
b,b,4b
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D
2b,b,4b
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Solution

The correct option is A a,2a,8a
If
p(x)=ax2+bx+c where a0 is a quadratic polynomial
And α,β are the zeroes of the polynomial p(x)
Then,
α+β=ba and α×β=ca

Given that

α+β=2=ba

α×β=8=ca

b=2a,c=8a



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