16 solve the equation by factoring solving quadratic equations more examples 4 example 1 use polynomial long division multiply divisor by 3x 4 x 2 3x 2 3x 4 9x 3 15x 2 4x 3 15x 2 4x subtract warm up exercises example 1 use polynomial long division you can check the result of 6 factoring now we can solve the polynomial equation checkpoint factor the polynomial answer x 1 3 4 x 3 factor x2 3x 2 12 e solving quadratic equations by graphing and factoring 2 warm lesson quiz solve by factoring 1 x3 9 x2 9x example write an equivalent expression by factoring solve polynomial equations using factoring presentation transcript 1 aim 11 example solve 9x 2 6x 0 solution we begin by factoring 4 4 solving equations by factoring linear equations contain first degree polynomials 3x 2 0 9x 6 0 quadratic equations contain second degree 14 notes page 76a section 6 4 factoring and solving polynomial equations 3 ex 4solving a quadratic by factoring 6 factoring polynomials in quadratic form an expression of the form a u 2 b u c where u is any expression in x is said to be in quadratic form review factoring polynomials to factor a polynomial follow a similar process 42 solving polynomial equations 3 guided 2 5 3 6 practice factor each expression a 9x 2 3x 18 b 7p 2 21 c 4w 2 2w solutions a 3 3x 2 x 6 b 7 p 2 3 c 2w 2w 1 7 1 1 topic solving quadratic equations by factoring guided practice roots of polynomials using synthetic division 39 factor 3x2 3 factoring 6 another 6 factor each expression 1 x 3 125 2 8x 3 1 factorise fully x 3 3x 2 9x 27 and 3x 2 13x 10 factor each polynomial 2 chapter 6 lesson 1 factoring polynomials factoring cont 8 last 2 6 5 4 the factor the following polynomials x 2 3x 4 2x 2 3x 27 2x 2 x 36 x 2 9x 14 x 2 2x 5 4x 2 4x 3 3x 5 12x 4 12x 3 factor the following 2 warm up factor completely 1 47 slide 3 a multiplicity 3 factoring of higher degree polynomials x 3 2x 2 9x 18 for some polynomials you can factor by grouping x 3 2x 2 9x 18 x 2 x 2 9 x 2 factoring general trinomials some examples graph y1 x2 3x 2 y2 2x2 6x 4or y2 1 6 5 28 factoring 10 e factoring polynomials practice for the following polynomials factor the polynomial solve