The trinomial you provided is 5x^2 + 31x + 6. Here are the steps to factor it:

Step 1: Multiply the coefficient of x^2 (which is 5) by the constant term (which is 6). The result is 30.

Step 2: Look for two numbers that multiply to 30 (from step 1) and add up to 31 (the coefficient of x). The numbers that satisfy these conditions are 1 and 30.

Step 3: Rewrite the middle term (31x) as the sum of 1x and 30x. This gives us 5x^2 + 1x + 30x + 6.

Step 4: Group the terms to prepare for factoring by grouping. This gives us (5x^2 + 1x) + (30x + 6).

Step 5: Factor out the greatest common factor from each group. This gives us x(5x + 1) + 6(5x + 1).

Step 6: Notice that (5x + 1) is a common factor. Factor out (5x + 1), which gives us (5x + 1)(x + 6).

So, the factored form of the trinomial 5x^2 + 31x + 6 is (5x + 1)(x + 6).

Question

The trinomial you provided is 5x^2 + 31x + 6. Here are the steps to factor it:

Step 1: Multiply the coefficient of x^2 (which is 5) by the constant term (which is 6). The result is 30.

Step 2: Look for two numbers that multiply to 30 (from step 1) and add up to 31 (the coefficient of x). The numbers that satisfy these conditions are 1 and 30.

Step 3: Rewrite the middle term (31x) as the sum of 1x and 30x. This gives us 5x^2 + 1x + 30x + 6.

Step 4: Group the terms to prepare for factoring by grouping. This gives us (5x^2 + 1x) + (30x + 6).

Step 5: Factor out the greatest common factor from each group. This gives us x(5x + 1) + 6(5x + 1).

Step 6: Notice that (5x + 1) is a common factor. Factor out (5x + 1), which gives us (5x + 1)(x + 6).

So, the factored form of the trinomial 5x^2 + 31x + 6 is (5x + 1)(x + 6).

Knowee AI · Accepted Answer