Find the discriminant for the quadratic equation f(x) = 5x^2 - 2x + 7 and describe the nature of the roots.

discriminant is 144, one real root
discriminant is -136, two complex roots <--?
discriminant is -136, one complex root
discriminant is 144, two real roots

If a binomial, x - a, divides a polynomial, what must be true in order for x - a to be a factor of the polynomial?

The remainder has to be 0.
The polynomial must be degree 3.
It must divide the polynomial in half. <-- ?
There cannot be any other factor x = a.

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  1. one out of two

    if something goes into something else "evenly" (wholly), then ...

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  2. Which one is correct and huh? sorry I'm lost

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  3. 1st one is correct

    the division hint is for the 2nd

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  4. Thanks! :)

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