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Chapter 6: Q. 155 (page 591)

Many trinomials of the form x2+bx+cfactor into the product of two binomialsx+mx+n

Explain how you find the values of m and n.

Short Answer

Expert verified

The value of mand ncan be obtained by factorizec.

Step by step solution

01

Step 1. Given Information

Given thatx2+bx+ccan be factors asx2+bx+c=x+mx+n

02

Step 2. Find the values of m and n

The value of mandncan be obtained as

Write two factors as two binomials with first term x.

Find two numbers when they multiplied the result is cand then add the result is b.

Such thatm脳n=cm+n=b

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