Find a quadratic polynimial whose zeroes are 3 and -4

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Solution

a quadratic polynomial whose zeroes are 3 and -4
By the properties of quadratic equations,

<>sum of zeros →3 -4→-1

<>product of zeros → (3)×(-4)=-12

quadratic polynomial will be

<>x²-(sum of zeros)x+product of zeros

<>x²-(-1)x+(-12)
x²+x-12

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Find a quadratic polynimial whose zeroes are 3 and -4

a quadratic polynomial whose zeroes are 3 and -4 By the properties of quadratic equations, <>sum of zeros →3 -4→-1 <>product of zeros → (3)×(-4)=-12 quadratic polynomial will be <>x²-(sum of zeros)x+product of zeros <>x²-(-1)x+(-12) x²+x-12

a quadratic polynomial whose zeroes are 3 and -4
By the properties of quadratic equations,

<>sum of zeros →3 -4→-1

<>product of zeros → (3)×(-4)=-12

quadratic polynomial will be

<>x²-(sum of zeros)x+product of zeros

<>x²-(-1)x+(-12)
x²+x-12