x^2+3+(1/10)

How to factor that?
plz help

To factor the quadratic expression x^2 + 3 + 1/10, we can use the factoring technique. Here's how you can do it:

Step 1: Make sure the quadratic expression is in standard form, where the terms are arranged in descending order of exponents. In our case, the expression is already in standard form.

Step 2: Look for factors of the quadratic coefficient (the coefficient of x^2), which is 1 in this case. Since there are no other factors of 1 apart from 1 itself, we proceed to the next step.

Step 3: Multiply the coefficient of x^2 and the constant term together. In our case, (1)(1/10) gives us 1/10.

Step 4: Look for factors of the result obtained in step 3 (1/10). This can be a trial-and-error process, where we are searching for two numbers that multiply to give us 1/10. In this case, we can use 1/10 itself and 1 as the factors, since (1/10)(1) equals 1/10.

Step 5: Rewrite the original quadratic expression by splitting the middle term using the factors found in step 4. We add and subtract the appropriate terms to maintain the equivalence of the expression. The expression becomes x^2 + 1/10x + 1/10x + 3.

Step 6: Group the terms into pairs and factor them separately. We have (x^2 + 1/10x) + (1/10x + 3).

Step 7: Factor out the greatest common factor (GCF) from each pair separately. In the first pair, we can factor out x, and in the second pair, we can factor out 1/10. The expression now looks like x(x + 1/10) + 1/10(x + 3).

Step 8: After factoring out the GCF, we should have similar terms in each pair. In our case, both pairs have (x + 1/10). So, we can factor (x + 1/10) out. The expression becomes (x + 1/10)(x + 1/10) + 1/10(x + 3).

Step 9: Simplify the expression by combining like terms, if possible. The simplified form is (x + 1/10)^2 + 1/10(x + 3).

Therefore, the factored form of the quadratic expression x^2 + 3 + 1/10 is (x + 1/10)^2 + 1/10(x + 3).