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If graoh of a quadratic polynomial …

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If graoh of a quadratic polynomial ax2+bx+c cuts positive direction of y-axis,then what is the sign of c ?
  • 1 answers

Sia ? 6 years, 6 months ago

A graph of p(x) cut y-axis
∴ At y-axis x = 0
∴ p(0) = a(0)2 + b(0) + c

= 0 + 0 + c
= c

{tex}\Rightarrow\ p(0)=c{/tex}
Now

If p(x) cut y-axis in positive direction
∴ p(0) > 0  so that c>0.
Therefore, c is positive

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