Question

write any two quadratic polynomials which have no zeros
​

Answer 1

ANSWER

A quadratic polynomial ax

2

+bx+c=0 has no solution when D=b

2

−4ac<0

These quadratic polynomials have no zeroes

y=2x

2

−4x+5⇒D=(−4)

2

−4(2)(5)=16−40=−24

y=2x−3x

2

+2⇒D=(−3)

2

−4(2)(2)=−7

y=x

2

−2x+4⇒D=(−2)

2

−4(1)(4)=−12

ANSWER

A quadratic polynomial ax

2

+bx+c=0 has no solution when D=b

2

−4ac<0

These quadratic polynomials have no zeroes

y=2x

2

−4x+5⇒D=(−4)

2

−4(2)(5)=16−40=−24

y=2x−3x

2

+2⇒D=(−3)

2

−4(2)(2)=−7

y=x

2

−2x+4⇒D=(−2)

2

−4(1)(4)=−12

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Answer 2

_____________________

These quadratic polynomials have no zeroes

1) y=2x 2 −4x+5⇒D=(−4) 2 −4 (2) (5)=16−40=−24

2) y=2x−3x 2 +2⇒D=(−3) 2 −4(2)(2)=−7

_____________________

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