Question

${3a}^3 + 4a - 3$
factorisation
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Answer 1

Answer:

sorry I didn't know please ask any questions

Answer 2

Answer:

What are the factors of 3a³+4a-3?

Let f(a) =3a^3 +4a -3,

Given expression can be factored if f(a)=0 can be reduced in lower degree.or f(a) must be factored in a linear factor and a reducible quadric function in a.

Suppose f(a) has a linear factor=(mx-n) where m and n are co- prime.

By rational root test, m must divide coefficient of a^3 =3 and n divide constant term=-3.

n/m =-1 in either case.

So, it may be reduce a factor as a+1 possible case

On dividing f(a) by a+1, we have quotient=3a^2–3a +7 and-10 as a remainder. So it can't be factor with integer coefficient.

Also we have f(-1)=-10.

In this way we have that there is no possible way/s of factor f(a) in lower order.