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How do you factor 7x2 - 9x - 10? - Answers

Factor 7x2 - 9x - 10 = 0.7 * -10 = -7070 = 2 * 35 = 2 * 5 * 7Factors of 70: 1,2,5,7,10,14,35,701 x 70 = 702 x 35 = 705 x 14 = 707 x 10 = 70The sum should be negative, so the larger number in the sum must be negative.product of -70 (sum of -9) :1 + (-70) = -692 + (-35) = -335 + (-14) = -97 + (-10) = -3The sums match up, so now we have the factors.(x+5)(x+(-14)) = 0(x+5)(x-14) = 0However, the x2 must have a 7 in front of it, so divide the 14 by 7.(7x+5)(x-2) = 0And, if you have extra time, you can foil it back out to make sure you did it correctly.7x2 - 14x + 5x -10 = 07x2 - 9x - 10 = 0This confirms that the factorization is correct.Finally, if you want to solve for x, just set each term equal to zero.7x+5 = 0 or x-2 = 07x = -5 or x = 2x = -5/7 or 2



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How do you factor 7x2 - 9x - 10? - Answers

https://math.answers.com/basic-math/How_do_you_factor_7x2_-_9x_-_10

Factor 7x2 - 9x - 10 = 0.7 * -10 = -7070 = 2 * 35 = 2 * 5 * 7Factors of 70: 1,2,5,7,10,14,35,701 x 70 = 702 x 35 = 705 x 14 = 707 x 10 = 70The sum should be negative, so the larger number in the sum must be negative.product of -70 (sum of -9) :1 + (-70) = -692 + (-35) = -335 + (-14) = -97 + (-10) = -3The sums match up, so now we have the factors.(x+5)(x+(-14)) = 0(x+5)(x-14) = 0However, the x2 must have a 7 in front of it, so divide the 14 by 7.(7x+5)(x-2) = 0And, if you have extra time, you can foil it back out to make sure you did it correctly.7x2 - 14x + 5x -10 = 07x2 - 9x - 10 = 0This confirms that the factorization is correct.Finally, if you want to solve for x, just set each term equal to zero.7x+5 = 0 or x-2 = 07x = -5 or x = 2x = -5/7 or 2



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https://math.answers.com/basic-math/How_do_you_factor_7x2_-_9x_-_10

How do you factor 7x2 - 9x - 10? - Answers

Factor 7x2 - 9x - 10 = 0.7 * -10 = -7070 = 2 * 35 = 2 * 5 * 7Factors of 70: 1,2,5,7,10,14,35,701 x 70 = 702 x 35 = 705 x 14 = 707 x 10 = 70The sum should be negative, so the larger number in the sum must be negative.product of -70 (sum of -9) :1 + (-70) = -692 + (-35) = -335 + (-14) = -97 + (-10) = -3The sums match up, so now we have the factors.(x+5)(x+(-14)) = 0(x+5)(x-14) = 0However, the x2 must have a 7 in front of it, so divide the 14 by 7.(7x+5)(x-2) = 0And, if you have extra time, you can foil it back out to make sure you did it correctly.7x2 - 14x + 5x -10 = 07x2 - 9x - 10 = 0This confirms that the factorization is correct.Finally, if you want to solve for x, just set each term equal to zero.7x+5 = 0 or x-2 = 07x = -5 or x = 2x = -5/7 or 2

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      Factor 7x2 - 9x - 10 = 0.7 * -10 = -7070 = 2 * 35 = 2 * 5 * 7Factors of 70: 1,2,5,7,10,14,35,701 x 70 = 702 x 35 = 705 x 14 = 707 x 10 = 70The sum should be negative, so the larger number in the sum must be negative.product of -70 (sum of -9) :1 + (-70) = -692 + (-35) = -335 + (-14) = -97 + (-10) = -3The sums match up, so now we have the factors.(x+5)(x+(-14)) = 0(x+5)(x-14) = 0However, the x2 must have a 7 in front of it, so divide the 14 by 7.(7x+5)(x-2) = 0And, if you have extra time, you can foil it back out to make sure you did it correctly.7x2 - 14x + 5x -10 = 07x2 - 9x - 10 = 0This confirms that the factorization is correct.Finally, if you want to solve for x, just set each term equal to zero.7x+5 = 0 or x-2 = 07x = -5 or x = 2x = -5/7 or 2

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