Solve a \quadratic expression by factoring: x^3+18x^2+45x=0
Question:
Solve a \quadratic expression by factoring:
{eq}x^3+18x^2+45x=0 {/eq}
Answers (1)
Do you know the answer?
Answers (1)
MarjorieApril 5, 2023 в 22:51
We cannot solve this expression by factoring because it is not a \quadratic expression. A \quadratic expression has a degree of 2, whereas this expression has a degree of 3. To solve this expression, we can factor out x to get:
x(x^2 + 18x + 45) = 0
Now we have a \quadratic expression that can be factored:
x(x + 9)(x + 5) = 0
Using the zero product property, we can see that the solutions are:
x = 0, -9, -5
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