What is factor a^4-24+8a-3a^3 ?

The solution to factor a^4-24+8a-3a^3 is (a-3)(a+2)(a^2-2a+4)

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factor a^4-24+8a-3a^3

factor

a^{4} - 24 + 8 a - 3 a^{3}

(a - 3) (a + 2) (a^{2} - 2 a + 4)

Solution steps

a^{4} - 24 + 8 a - 3 a^{3}

Write in the standard form

= a^{4} - 3 a^{3} + 8 a - 24

= (a^{4} - 3 a^{3}) + (8 a - 24)

Factor out

a^{3}

from

a^{4} - 3 a^{3} : a^{3} (a - 3)

Factor out

8

from

8 a - 24 : 8 (a - 3)

= a^{3} (a - 3) + 8 (a - 3)

Factor out common term

a - 3

= (a - 3) (a^{3} + 8)

Factor

a^{3} + 8 : (a + 2) (a^{2} - 2 a + 2^{2})

= (a - 3) (a + 2) (a^{2} - 2 a + 2^{2})

2^{2} = 4

= (a - 3) (a + 2) (a^{2} - 2 a + 4)

340 = 2 (79) + 2 w

9 m^{2} - 34 m + 21 = 0

5 x - 9 < - 15 + 8 x

7 x^{3} + x^{2} - 28 x - 4

ln (10)

What is factor a^4-24+8a-3a^3 ?
The solution to factor a^4-24+8a-3a^3 is (a-3)(a+2)(a^2-2a+4)