From the quadratic equation whose roots are -5and -7
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Step-by-step explanation:
Given,
zeroes of the quadratic equation are -5 and -7
i.e,α=-5 and β= -7
we know that,
general form of quadratic equation is
x²-(α+β)x+αβ (or) x²-(sum of roots)x+product of roots
⇒x²-(-5-7)x+(-5×-7)
⇒x²+12 x+35
∴the required quadratic equation is x²+12 x+35
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