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Can You help me with Solving Quadratic Equations by Factoring?

Can You help me with Solving Quadratic Equations by Factoring? Topic: Problem solving by quadratic equations
May 26, 2019 / By Ava
Question: I'm learning solving quadratic equations by factoring can you help me with sum of these problems please & thanks you :) 1. x²+4x-12 = 0 2. x²-4x=21 3. n²-4= -3n 4. 3x²+13x+4=0 5. 3p²+8p+5=0 6. 3r²+10r+9=6 7. 2n²+17n+11=3 Thanks
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Best Answers: Can You help me with Solving Quadratic Equations by Factoring?

Abby Abby | 7 days ago
x^2+4x-12=0 factors of twelve that will give you a middle term of 4x are 6 and 2 so factors are (x+6)(x-2) pay attention to signs if you need to solve for x, then set bothe parenthesis to =0 and x=-6, 2 and that's how you should do the rest of the problems ))
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We found more questions related to the topic: Problem solving by quadratic equations


Abby Originally Answered: Algebra 2 solving quadratic equations by factoring?
You should have the following patterns so drilled into your head by countless homework exercises that you recognize them whether the numbers are constant or variables. a^-b^2 = (a-b)(a+b) (a+b)^2 = a^2 + 2ab + b^2 (a-b)^2 = a^2 -2ab + b^2 In high school this is the same as 3 time 7 equals 21 in third grade. If you plan to learn math without doing any F**** homework, now is the time to use the technique you planned to substitue.
Abby Originally Answered: Algebra 2 solving quadratic equations by factoring?
1. (x+2)(x-6)=0 x+2=0 or x-6=0 (below) (subtract 2 from both sides) x = -2 or x-6=0 (add six to both sides) x = 6 so, x= -2 or 6 2. (x-2)(x-4)=0 x-2=0 or x-4=0 (same procedure as above) x=2 or x= 4

Steph Steph
1. x²+4x-12 = 0 (x-2)(x+6)=0 2. x²-4x=21 0=x^2-4x-21 then, (x+3)(x-7)=0 3. n²-4= -3n 0=n^2+3n-4 then, (n-1)(n+4) 4. 3x²+13x+4=0 (3x+1)(x+4)=0 5. 3p²+8p+5=0 (3p+5)(p+1)=0 6. 3r²+10r+9=6 = 3r^2+10r+3 so, 0=(3r+1)(r+3) 7. 2n²+17n+11=3 =2n^2+17n+8 so, 0=(2n+1)(n+8)
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Paddy Paddy
Im only solving two because this could be your hw so 1. To factor 1st find 2 numbers that when multiplied equal -12. Then find a factor pair that when added equals 4 So the pair would be 6 and -2 The answer would be (x+6)(x-2) 2. First move the 21 to the other side which would make x^2-4x-21 Then find factor pairs that would be -7 and 3 Answer is (x-7)(x+3) for those that have a number in front of x^2 make sure the pairs that one of them is multiplied by the number in front
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Paddy Originally Answered: Solving Quadratic Equations?
2x^2 - x - 21 = 0 (multiply 2 and -21, which is -42; find two integers that multiply to -42 but add to -1, which are 6 and -7) 2x^2 + 6x - 7x - 21 = 0 (group terms into pairs) (2x^2 + 6x) + (-7x - 21) = 0 (factor each group) 2x(x + 3) - 7(x + 3) = 0 (make (2x - 7) a factor and (x + 3) a factor) (2x - 7)(x + 3) = 0 (zero-product property) 2x - 7 = 0 or x + 3 = 0 2x = 7 or x = -3 x = 7/2 or x = -3 <===ANSWER 3x^2 + 14x - 5 = 0 (multiply 3 and -5, which is -15; find two integers that multiply to -15 but add to 14, which are 15 and -1) 3x^2 - x + 15x - 5 = 0 (group into pairs) (3x^2 - x) + (15x - 5) = 0 (factor each group) (x(3x - 1) + 5(3x - 1) = 0 (make (x + 5) a factor and (3x - 1) a factor) (x + 5)(3x - 1) = 0 (zero-product property) x + 5 = 0 or 3x - 1 = 0 x = -5 or 3x = 1 x = -5 or x = 1/3 <===ANSWER 3x^2 + 11x - 4 = 0 (multiply 3 and -4, which is -12; find two integers that multiply to -12 but add to 11, which are -1 and 12) 3x^2 + 12x - x - 4 = 0 (group into pairs) (3x^2 + 12x) + (-x - 4) = 0 (factor each group) 3x(x + 4) - 1(x + 4) = 0 (make (3x - 1) a factor and (x + 4) a factor) (3x - 1)(x + 4) = 0 (zero-product property) 3x - 1 = 0 or x + 4 = 0 3x = 1 or x = -4 x = 1/3 or x = -4 <===ANSWER Factoring by this method is called the AC method: http://www.tcc.edu/vml/Mth03/Trinom/tri7... It works on factoring any quadratic (if it is factorable to begin with, of course).

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