{3a}^(2) + a - 30 in factored form ​

Question

`{3a}^(2) + a - 30`
in factored form
​

Answer 1

Assignment:
`\bold{Factor \ Equation: \ 3a^2+a-30}`

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Answer:
`\boxed{\bold{\left(a-3\right)\left(3a+10\right)}}`

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Explanation:
`\downarrow\downarrow\downarrow`

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[ Step One ] Break Expression Into Groups

`\bold{\left(3a^2-9a\right)+\left(10a-30\right)}`

[ Step Two ] Factor Out
`\bold{3a^2}` From
`\bold{3a^2-9a}`

`\bold{3a\left(a-3\right)}`

[ Step Three ] Factor Out
`\bold{10}` From
`\bold{10a-30}`

`\bold{10\left(a-3\right)}`

[ Step Four ] Rewrite Equation

`\bold{3a\left(a-3\right)+10\left(a-3\right)}`

[ Step Five ] Factor Out Common Term
`\bold{a-3}`

`\bold{\left(a-3\right)\left(3a+10\right)}`

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`\bold{\rightarrow Mordancy \leftarrow}`

Answer 2

(a - 3)(3a + 10)

Explanation:

Factor 3a^2 + a −30

3a^2 + a − 30

= (a - 3)(3a + 10)

Hope this helps!