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Answer
The quadratic expression
can be factored as
. Solving the equation
gives the solutions
and
.
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Did you know that quadratic equations like
can often represent real-world phenomena such as projectile motion or the trajectory of objects? By solving these equations, we can predict outcomes like how far an object will travel or how high it will go. So next time you’re throwing a ball, remember there’s some math behind that arc!
Now, when factoring quadratics like this one, keep an eye out for common factors! In this case, all terms can be simplified by 3. So you’ll want to rewrite it as
first. Then, you can find two numbers that multiply to -3 and add to -2, leading you to the factors of the complete expression. Happy factoring!