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5.7-5.9 Factoring Trinomials

5.7-5.9 Factoring Trinomials. Algebra I. Factoring a trinomial of the form x 2 +bx+c. You can use factoring to write a trinomial as a product of 2 binomials x 2 +bx+c = ( x+m )( x+n ) = x 2 +( m+n )x + mn

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5.7-5.9 Factoring Trinomials

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  1. 5.7-5.9 Factoring Trinomials Algebra I

  2. Factoring a trinomial of the form x2+bx+c • You can use factoring to write a trinomial as a product of 2 binomials x2+bx+c = (x+m)(x+n) = x2+(m+n)x + mn So the sum of m and n must be equal to b (m+n=b) and the product of m and n must be equal to c (mn=c) If c>0 then m and n have like signs. If c<0 then m and n have unlike signs.

  3. Examples • Factor: • 1) • 2)

  4. Examples • Factor: • 3) • 4)

  5. Examples • Factor: • 5) • 6)

  6. Examples • Factor: • 7) • 8)

  7. Factoring trinomials in 2 variables • You can use factoring to write a trinomial in 2 variables as a product of 2 binomials x2+bxy+cy2 = (x+my)(x+ny) = x2+(m+n)xy + mny2 Examples: 1) 2)

  8. Factoring Completely • Some trinomials have a common monomial factor. In that case you should factor out first the monomial. • Examples: • 1) • 2) • 3)

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