4.4: Sum and Difference of Perfect Cubes and Special Factoring Page 256 3) (x + 1)(x + 5) 7) Prime 11) (x – 9)(x + 2) 15) (x + 6)(x – 6) 19) (x + 4)(x + 4) or (x + 4)2 23) (z – 11)(z + 11) 25) {5, 6} 27) {+7} 29) (–4, –1} 31) {–5 DR} 33) {–6, 9} 35) {–9, 0} 37) {7 DR} 39) It was factored wrong; it should be (x + 2)(x – 3) = 0 41) A 43) 3(10)(12) or 360 = (x + 10)(x + 12) 57) x2 – 19x + 88 = 0 61) 3, ext: –10 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring 1
4.4: Sum and Difference of Perfect Cubes and Special Factoring Page 263 3) (2x + 3)(x + 1) 7) (11z – 9)(z + 1) 11) (7m – 3)(2m + 1) 15) (7n – 4)(7n + 4) 19) (3p – 2)2 23) 2(3z + 4)(3z + 2) 25) 6u(u – 4) 27) 4(5x + 1)(x + 6) 29) –3(6n – 5)(2n – 1) 33) {–2, 2} 37) {–3/2 DR} 41) {–1/4, 5} 45) {–3/11, 2} 49) {–1, 7/12} 53) {–1, 8/3} 57) {0, 4} 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring 2
Sum and Difference of Perfect Cubes and Special Factoring SECTION 4.4a 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
4.4: Sum and Difference of Perfect Cubes and Special Factoring Factor Flowchart 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
SUM & DIFFERENCE IN CUBES Take the GCF Out Put the equation into perfect cubes Put the bases of the cubes into parentheses Refer to the bases in the parentheses and follow the format of S1OMAS2 S1 – Square the first base O – Take Opposite of the original problem’s sign M – Multiply the first and second base (leave the signs alone) A – Put addition sign S2 – Square the second base 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
4.4: Sum and Difference of Perfect Cubes and Special Factoring CUBE ROOTS 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
4.4: Sum and Difference of Perfect Cubes and Special Factoring EXAMPLE 1 Factor x3 – 27 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
4.4: Sum and Difference of Perfect Cubes and Special Factoring EXAMPLE 1 Factor x3 – 27 S1 – Square the first base O – Take Opposite sign M – Multiply the first & second base A – Put addition sign S2 – Square the second base 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
4.4: Sum and Difference of Perfect Cubes and Special Factoring EXAMPLE 1 Factor x3 – 27 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
4.4: Sum and Difference of Perfect Cubes and Special Factoring EXAMPLE 2 Factor x3 + 64 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
4.4: Sum and Difference of Perfect Cubes and Special Factoring Your Turn Factor x3 – 1000 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
4.4: Sum and Difference of Perfect Cubes and Special Factoring Example 3 Factor 27x3 + 125 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
4.4: Sum and Difference of Perfect Cubes and Special Factoring EXAMPLE 4 Factor x6 – 1 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
4.4: Sum and Difference of Perfect Cubes and Special Factoring Your Turn Factor 4x5 – 32x2 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
4.4: Sum and Difference of Perfect Cubes and Special Factoring Example 5 Factor x4 + 5x2 + 6 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
4.4: Sum and Difference of Perfect Cubes and Special Factoring Example 6 Factor x4 – 2x2 – 8 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
4.4: Sum and Difference of Perfect Cubes and Special Factoring Your Turn Factor x4 – 5x2 – 36 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring
4.4: Sum and Difference of Perfect Cubes and Special Factoring Assignment WKST 1/1/2019 6:13 PM 4.4: Sum and Difference of Perfect Cubes and Special Factoring