August 10, 201312 yr Winner = ohhungry Who ever answers this math question and explains why completely how they did it, they win 100k. Rules - Solve it 1. Which of the following expressions is a factor of 4x^2 - 8x + 3? a. 2x + 1 b. 4x + 3 c. 2x - 3 d. 2x + 3 Goodluck, dont forget to explain how you solved it, who ever answers more detailed will win the prize. Contest will end in 2 hours. Edited August 10, 201312 yr by Diamonds
August 10, 201312 yr Try this:(2x____)(2x____) Last times last has to be 3*1 or 1*3, and in this case, it doesn't really matter what order you use. (2x+3)(2x+1) Notice that the outer times outer and inner times inner give you 2x + 6x = 8x, which is the correct middle term. Final answer: (2x+3)(x+1) SO, your answer would be D) 2x+3 http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.88198.html inb4 shitstorm
August 10, 201312 yr (2x-3)(2x-1) foil it out = 4x^2-2x-6x+3 simplified = 4x^2-8x+3 therefor c) Edited August 10, 201312 yr by ScorpioZ
August 10, 201312 yr 4x^2-8x+3 to find roots, use quadratic formula x=(8(+/-)sqrt(8^2-4(4)(3))/8) =(8(+/-)sqrt(16))/8 =(8(+/-)4)/8 =3/2 and 1/2 Set all options equal to 0 and sub in either value of x, whichever statements hold true are correct a)2x+1= 0 (does not work for either value of x) b)4x+3 = 0 (does not work for either value of x) c)2x-3 = 0 (work for x=3/2, therefore this is a factor of 4x^2-8x+3 d)2x+3 = 0 (does not work for either value of x) Therefore 2x-3 is a factor of 4x^2-8x+3, the answer is C Sidenote: You should probably choose harder math problems :P Edited August 10, 201312 yr by ohhungry
August 10, 201312 yr Author 4x^2-8x+3 to find roots, use quadratic formula x=(8(+/-)sqrt(8^2-4(4)(3))/8) =(8(+/-)sqrt(16))/8 =(8(+/-)4)/8 =3/2 and 1/2 Set all options equal to 0 and sub in either value of x, whichever statements hold true are correct a)2x+1= 0 (does not work for either value of x) b)4x+3 = 0 (does not work for either value of x) c)2x-3 = 0 (work for x=3/2, therefore this is a factor of 4x^2-8x+3 d)2x+3 = 0 (does not work for either value of x) Therefore 2x-3 is a factor of 4x^2-8x+3, the answer is C Sidenote: You should probably choose harder math problems ahha nope sorry try again, note: ^ means exponent
August 10, 201312 yr (2x-3)(2x-1) foil it out = 4x^2-2x-6x+3 simplified = 4x^2-8x+3 therefor c) Edited August 10, 201312 yr by mdanhorn
August 10, 201312 yr (2x-3)(2x-1) adding explanation - take factors of the a and c term you get: 4 = 2 x 2 or 1 x 4 3 = 1 x 3 because the equation follows this form ax2 - bx + c then the numbers are arranged in this fashion (x - h)(x - k) we try the various options (2x-1)(2x-3) (1x-1)(4x-3) the one that gives us the right answer is (2x-3)(2x-1) Edited August 10, 201312 yr by Exarticus
August 10, 201312 yr 4x^2-8x+3 to find roots, use quadratic formula x=(8(+/-)sqrt(8^2-4(4)(3))/8) =(8(+/-)sqrt(16))/8 =(8(+/-)4)/8 =3/2 and 1/2 Set all options equal to 0 and sub in either value of x, whichever statements hold true are correct a)2x+1= 0 (does not work for either value of x) b)4x+3 = 0 (does not work for either value of x) c)2x-3 = 0 (work for x=3/2, therefore this is a factor of 4x^2-8x+3 d)2x+3 = 0 (does not work for either value of x) Therefore 2x-3 is a factor of 4x^2-8x+3, the answer is C Sidenote: You should probably choose harder math problems ahha nope sorry try again, note: ^ means exponent Uhh...yeah, my answer's right. unless by 4x^2 you actually meant (4x)^2, in which case there are no real roots.
August 10, 201312 yr Author Change title to "Need Maths Homework Done - Paying 100K" not really, have an answer , ( will be doing multiple challenges for people in need of small money )
August 10, 201312 yr 4x^2-8x+3 to find roots, use quadratic formula x=(8(+/-)sqrt(8^2-4(4)(3))/8) =(8(+/-)sqrt(16))/8 =(8(+/-)4)/8 =3/2 and 1/2 Set all options equal to 0 and sub in either value of x, whichever statements hold true are correct a)2x+1= 0 (does not work for either value of x) b)4x+3 = 0 (does not work for either value of x) c)2x-3 = 0 (work for x=3/2, therefore this is a factor of 4x^2-8x+3 d)2x+3 = 0 (does not work for either value of x) Therefore 2x-3 is a factor of 4x^2-8x+3, the answer is C Sidenote: You should probably choose harder math problems ahha nope sorry try again, note: ^ means exponent He's actually right... and he did it in a manner much harder then it needed to be.
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