Answer:
(a - 3)(3a + 10)
Step-by-step explanation:
Factor 3a^2 + a −30
3a^2 + a − 30
= (a - 3)(3a + 10)
Hope this helps!
Assignment: [tex]\bold{Factor \ Equation: \ 3a^2+a-30}[/tex]
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Answer: [tex]\boxed{\bold{\left(a-3\right)\left(3a+10\right)}}[/tex]
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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]
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[ Step One ] Break Expression Into Groups
[tex]\bold{\left(3a^2-9a\right)+\left(10a-30\right)}[/tex]
[ Step Two ] Factor Out [tex]\bold{3a^2}[/tex] From [tex]\bold{3a^2-9a}[/tex]
[tex]\bold{3a\left(a-3\right)}[/tex]
[ Step Three ] Factor Out [tex]\bold{10}[/tex] From [tex]\bold{10a-30}[/tex]
[tex]\bold{10\left(a-3\right)}[/tex]
[ Step Four ] Rewrite Equation
[tex]\bold{3a\left(a-3\right)+10\left(a-3\right)}[/tex]
[ Step Five ] Factor Out Common Term [tex]\bold{a-3}[/tex]
[tex]\bold{\left(a-3\right)\left(3a+10\right)}[/tex]
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[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]
