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Intermediate Algebra

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

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Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

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

For Problems 1-10, answer true or false.

The polynomial 2 x 2 + 5 x - 3 is not factorable using integers.

To determine

To state:

True or false for the given statement.

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 statement: The polynomial 2x2+5x-3 is not factorable using integers.

We need to complete the following with two integers whose sum is 5 and whose product is -6

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