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which statement about the following equation is true?   
A. The discriminant is less than 0, so there are two real roots.
B. The discriminant is greater than 0, so there are two real roots.
C. The discriminant is less than 0, so there are two complex roots.
D. The discriminant is greater than 0, so there are two complex roots

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Nelly Stracke
Nelly StrackeLv2
20 Mar 2020
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Related questions

For what values of c does the polynomial have two inflection points? One inflection point? None? Illustrate by graphing P for several values of c. How does the graph change as c decreases?

Tynup Solution:

Given:

Differentiating

For c ≠ 0, there are two distinct roots for the equation.

Hence, for two inflection points the required condition is.

When c = 0, there is only one root for the equation.

Hence, when c = 0, the function has one inflection point.

Recall that the quadratic equation does not have real roots if its Discrimnant is less than zero.

Hence, for no inflection points

, which is not possible.

Hence, the polynomial function has minimum of one inflection point.

For different values of c

The common inflection point is (0, 0) and other inflection point is,

Hence,

On decreasing the value of c, the inflection point moves towards positive quadrant.

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