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10x^2 - 35x + 15 = 5(2x^2 - 7x + 3) = 5(2x - 1)(x - 3)
Q1: = x² - 10x = x(x - 10) answer: x(x - 10) are the factors. Q2: x² + x = 15 + a million² x² + x = 15 + a million (x + a million)² = sixteen x + a million = 4 = x + a million - 4, = x - 3 = x + a million + 4, = x + 5 answer: (x - 3)(x + 5) are the factors. Q3: x² - 35/4x = - 40 9 + (- 35/4)² x² - 35/4x = - 784/sixteen + a million,225/sixteen (x - 35/4)² = 441/sixteen x - 35/4 = 21/4 = x - 35/4 - 21/4, = x - fifty six/4, = x - 14 = x - 35/4 + 21/4, = x - 14/4, = x - 7/2, = 2x - 7 answer: (x - 14)(2x - 7) this fall: = (t + 4)(t - 2) = (t * t) + (t * - 2) + (4 * t) + (4 * - 2) = t² + 2t + 4t - 8 = t² + 6t - 8 answer: t² + 6t - 8
10x² - 35x + 15
5 (2x² - 7x + 3 ) by taking out common factor
5 ( 2x² - 1x - 6x +3) by splitting middle term
5 ( x(2x-1)-2(3x-1) )
(5) (x-2) ( 3x - 1)
(x-3)(10x-5)
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10x^2 - 35x + 15 = 5(2x^2 - 7x + 3) = 5(2x - 1)(x - 3)
Q1: = x² - 10x = x(x - 10) answer: x(x - 10) are the factors. Q2: x² + x = 15 + a million² x² + x = 15 + a million (x + a million)² = sixteen x + a million = 4 = x + a million - 4, = x - 3 = x + a million + 4, = x + 5 answer: (x - 3)(x + 5) are the factors. Q3: x² - 35/4x = - 40 9 + (- 35/4)² x² - 35/4x = - 784/sixteen + a million,225/sixteen (x - 35/4)² = 441/sixteen x - 35/4 = 21/4 = x - 35/4 - 21/4, = x - fifty six/4, = x - 14 = x - 35/4 + 21/4, = x - 14/4, = x - 7/2, = 2x - 7 answer: (x - 14)(2x - 7) this fall: = (t + 4)(t - 2) = (t * t) + (t * - 2) + (4 * t) + (4 * - 2) = t² + 2t + 4t - 8 = t² + 6t - 8 answer: t² + 6t - 8
10x² - 35x + 15
5 (2x² - 7x + 3 ) by taking out common factor
5 ( 2x² - 1x - 6x +3) by splitting middle term
5 ( x(2x-1)-2(3x-1) )
(5) (x-2) ( 3x - 1)
(x-3)(10x-5)