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Chapter 6: Q 85E (page 589)

In the following exercises, factor each trinomial of the form

x2-3xy-14y2

Short Answer

Expert verified

The trinomial is prime. Hence there is no factors for the equation.

Step by step solution

01

Step 1. Given information

The given equation isx2-3xy-14y2

02

Step 2. Writing factors as two binomial with first term x and second term y.  

The factors should be written as two binomials with first term r and second term s.

(xy)(xy)

The product of the two numbers is 14,and their sum is 3. Because the third term sign is negative, the sum seems to be a difference.

localid="1644734251213" Factors24128123Difference23105

There are no factors pair that sum is 3. The given trinomial is prime.

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