Factoring Trinomials with a leading coefficient

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Presentation transcript:

Factoring Trinomials with a leading coefficient SWBAT factor quadratic trinomials when the leading coefficient is not 1

Factoring with a lead coefficient ax2 + bx + c 7x2 + 22x + 3 First multiply the first coefficient and the constant (ac) 7(3) = 21 Find the factors of 21 that add up to the second coefficient (b) 1*21 3*7

Factoring with a lead coefficient Re-write the polynomial using the factors 7x2 + 22x + 3 7x2 + 21x + 1x + 3 Factor by grouping 7x(x + 3) + 1(x + 3) (7x +1)(x +3)

Factoring with a lead coefficient Use the same rules for the signs that you used when factoring a trinomial with a leading coefficient of 1

Examples 9y2 + 30y – 11 10m2 – 43mn + 28n2 3x2 + 4x – 7 5s2 – 16s + 3

Classwork WB page 199, 1-8 Homework You may work together Worksheet – factoring trinomials Pick 9

Examples 2y2 + 11y – 6 11x2 + 21x – 2 3n2 – 20n +12 3a2– a – 4

Classwork WB pages 199-200, 9-16 Homework You may work together Worksheet – factoring expressions 1-8

Examples 4s2 + 12st + 5t2 3m2 + 8m + 5 6x2 – 19x + 15 3a2 – 7ab – 6b2

Classwork WB pages 200, 17-24 Homework You may work together Worksheet – factoring expressions 9-16