5 3 12 4 factor fully
The factors of 5 are: 1, 5.
The factors of 3 are: 1, 3.
The factors of 12 are: 1, 2, 3, 4, 6, 12.
The factors of 4 are: 1, 2, 4.
To factor the expression fully, we need to find all possible factors of the given numbers and write them as products. Let's factor each number step-by-step:
1. Factoring 5:
The number 5 is a prime number, so it cannot be factored any further. Therefore, it remains as 5.
2. Factoring 3:
Similar to 5, 3 is a prime number and cannot be factored further.
3. Factoring 12:
To factor 12, we need to find two numbers that multiply together to give 12.
The factors of 12 are:
1, 2, 3, 4, 6, and 12.
We can write 12 as a product of its factors:
12 = 1 * 12
12 = 2 * 6
12 = 3 * 4
4. Factoring 4:
The number 4 can be factored into 2 * 2.
Now, we can rewrite the expression in fully factored form:
5 * 3 * 12 * 4 = 5 * 3 * 1 * 12 * 2 * 2
Simplifying further, we obtain:
5 * 3 * 1 * 2 * 2 * 12 = 360
Therefore, the fully factored form of the expression 5 * 3 * 12 * 4 is 360.
To fully factor the expression 5x^3 + 12x^2 + 4, follow these steps:
Step 1: Find the greatest common factor (GCF).
Start by finding the GCF of the given terms. In this case, the GCF of 5, 12, and 4 is 1.
Step 2: Group the terms.
Since there are no common factors among the terms, we can proceed to grouping the terms. Group the terms in pairs from left to right. Grouping is done to factor out common binomial factors.
(5x^3 + 12x^2) + 4
Step 3: Factor out the GCF from each group.
Now, factor out the GCF from each group. The GCF enables us to factor out common terms.
5x^2(x + 3) + 4
Step 4: Factor out the remaining binomial expression.
The remaining binomial expression (x + 3) cannot be further factored. Therefore, the fully factored form of the expression 5x^3 + 12x^2 + 4 is:
5x^2(x + 3) + 4