Factoring Trinomials with a 1 Factor trinomials when

Multiply 3 times 6. e the To mak ive, sit sum po bers m

Multiply 3 times – 6. e the To mak ive, sit sum po st

Multiply 3 times – 6. e the To mak ive, gat sum ne est

Multiply 9 times 4. e the To mak ive, gat sum ne bers m

Multiply – 9 times 4. the e k a m To ro, sum ze

ALWAYS check your work when factoring trinomials by using the FOIL method.

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Factoring Trinomials with a > 1 Factor trinomials when the coefficient of x 2 is a number greater than 1. ax 2 + bx + c

Multiply 3 times 6. e the To mak ive, sit sum po bers m both nu e must b e. positiv product 18 3 x 2 + 11 x + 6 sum + 11 1 • 18 + 19 2 • 9 + 11 Use the coefficient of x 2 in both parentheses: ( 3 x ) Fill in the numbers… ( 3 x + 2 ) ( 3 x + 9 ) ( 3 x + 2 ) ( x + 3 ) Factor any common terms from each parenthesis. 3 x 2 + 9 x + 2 x + 6 ( 3 x + 2 ) ( 3 x + 9 ) Check using the F. O. I. L. method: 3 x 2 + 11 x + 6 1 1 3 3 ( 3 x + 2 ) ( x + 3 )

Multiply 3 times – 6. e the To mak ive, sit sum po st e the larg st r mu numbe ve. iti be pos product – 18 3 x 2 + 7 x – 6 sum +7 – 1 • 18 + 17 – 2 • 9 +7 Use the coefficient of x 2 in both parentheses: ( 3 x ) Fill in the numbers… ( 3 x – 2 ) ( 3 x + 9 ) ( 3 x – 2 ) ( x + 3 ) Factor any common terms from each parenthesis. 3 x 2 + 9 x – 2 x – 6 ( 3 x – 2 ) ( 3 x + 9 ) Check using the F. O. I. L. method: 3 x 2 + 7 x – 6 1 1 3 3 ( 3 x – 2 ) ( x + 3 )

Multiply 3 times – 6. e the To mak ive, gat sum ne est the larg st r mu numbe ive. at be neg product – 18 3 x 2 – 7 x – 6 sum – 7 1 • – 18 – 17 2 • – 9 – 7 Use the coefficient of x 2 in both parentheses: ( 3 x ) Fill in the numbers… ( 3 x + 2 ) ( 3 x – 9 ) ( 3 x + 2 ) ( x – 3 ) Factor any common terms from each parenthesis. 3 x 2 – 9 x + 2 x – 6 ( 3 x + 2 ) ( 3 x – 9 ) Check using the F. O. I. L. method: 3 x 2 – 7 x – 6 1 1 3 3 ( 3 x + 2 ) ( x – 3 )

Multiply 9 times 4. e the To mak ive, gat sum ne bers m both nu e must b e. negativ product 36 9 x 2 – 12 x + 4 sum – 12 – 1 • – 36 – 37 Use the coefficient of x 2 in both parentheses: ( 9 x ) – 2 • – 18 – 20 Fill in the numbers… – 3 • – 12 – 15 ( 9 x – 6 ) – 4 • – 9 – 13 – 6 • – 6 – 12 Check using the F. O. I. L. method: ( 3 x – 2 ) 9 x 2 – 6 x + 4 9 x 2 – 12 x + 4 Factor any common terms from each parenthesis. ( 9 x – 6 ) 3 3 ( 3 x – 2 ) 2

Multiply – 9 times 4. the e k a m To ro, sum ze rs mbe both nu the e must b ut same b te opposi signs. product – 36 4 x 2 – 9 sum 0 1 • – 36 – 35 6 • – 6 0 Use the coefficient of x 2 in both parentheses: ( 4 x ) Fill in the numbers… ( 4 x + 6 ) ( 4 x – 6 ) Factor any common terms from each parenthesis. Check using the F. O. I. L. method: ( 2 x + 3 ) ( 2 x – 3 ) 4 x 2 – 6 x + 6 x – 9 4 x 2 – 9 ( 4 x + 6 ) ( 4 x – 6 ) 2 2 ( 2 x + 3 ) ( 2 x – 3 )

ALWAYS check your work when factoring trinomials by using the FOIL method.