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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

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Chapter
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BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

For problems 31-56, factor completely each of the trinomials and indicate any that are not factorable using integers. (Objective 2)

3 x 2 + 10 x + 4

To determine

To factor:

The given trinomial 3x2+10x+4.

Explanation

Procedure:

To factor the trinomials in the form of ax2+bx+c, we follow the steps given below:

Step-1: Multiply the coefficients of x2 and the constant term. That is a·c.

Step-2: Find the integers whose sum is equal to b=a+c and whose product is a·c.

Step-3: List out the pairs of factors for a·c preferably using a table.

Step-4: Rewrite the original problem by splitting the appropriate terms.

Step-5: Now, use the factoring by grouping method to factor the rewritten problem and simplify to get the solution.

Calculation:

Given expression:3x2+10x+4.

We need to complete the following with two integers whose sum is 10 and whose product is 12.

3x2+10x+4=15x+__x+__

T

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