## Related questions with answers

Question

For the following problem, find the real zeros (if any) of the polynomials.

$y=a x^2\left(x^2+4\right)(x+3)$, where $a$ is a nonzero constant.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 4Recall

- If a polynomial$\,\,p\,\,$has a linear factor $(x-k)$, then $x=k$ is a zero of the polynomial.
- If the factor $(x-k)$ occurs an even number of times, the graph touches, but does not cross the x-axis
- If the factor $(x-k)$ occurs an odd number of times, the graph crosses the x-axis, but is flattened in the vicinity of $x=k$.

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