Answer: 10x(4x-3)(x-1)
Explanation:
First factor out the GCF or in this case 10x.
10x(4x^2-7x+3)
Then we find two numbers that multiply to 12 and add to -7.
To find the appropriate factors we can consider the factor pairs of 4 and 3.
4 * 1 = 4
2 * 2 = 4
3 * 1 = 3
Based on these factor pairs, we can determine that the factors are:
(4x - 3)(x - 1)
Putting it all together, the factored form of the polynomial 40x^3 - 70x^2 + 30x is:
10x(4x - 3)(x - 1)