Question

Factor out the greatest common factor in the expression 6x⁴-18x³+30x².

Answer 1

6x²(x² - 3x + 5)

Step-by-step explanation:

The GCF of 6, -18, and 30 is 6. The highest term of x is x squared. So you can factor those two out, dividing the whole equation by that in the process.

Remember to put the GCF outside with parentheses, and this gives us:

6x²(x² - 3x + 5)

Answer 2

To factor out the greatest common factor in the expression 6x⁴-18x³+30x², divide each term by the greatest common factor, which is 6x². The factored form of the expression is 6x²(x² - 3x + 5).

Step-by-step explanation:

To factor out the greatest common factor, we need to identify the common factors of the terms in the expression. In this case, the greatest common factor is 6x². We can factor it out by dividing each term in the expression by 6x²:

6x⁴-18x³+30x² = 6x²(x² - 3x + 5)

Therefore, the factored form of the expression is 6x²(x² - 3x + 5).