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Solve Quadratics by FactoringSolve Quadratics by Factoring
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Question 1 of 4
1. Question
Solve for `x`:`x^26x+5=0`Hint
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The cross method is a factorisation method used for quadratics.Since the equation is in standard form `(``a``x^2+``b``x+``c``=0)` we can factorise using the cross method.`x^2``6``x+``5``=0`To factorise, we need to find two numbers that add to `6` and multiply to `5``5` and `1` fit both conditions`5 + (1)` `=` `6` `5 xx 1` `=` `5` Read across to get the factors.`(x5)(x1)=0`Solve for each value of `x`.`x5` `=` `0` `x5` `+5` `=` `0` `+5` `x` `=` `5` `x1` `=` `0` `x1` `+1` `=` `0` `+1` `x` `=` `1` `x=1, 5` 
Question 2 of 4
2. Question
Solve for `x`:`2x^23x+1=0`Hint
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The cross method is a factorisation method used for quadratics.Since the equation is in standard form `(``a``x^2+``b``x+``c``=0)` we can factorise using the cross method.`2``x^2``3``x``+1``=0`Find two numbers that multiply to `2` on the left side and multiply to `1` on the right side. Also, when cross multiplied they should add to the middle term (`3x`).`2` and `1` fit the condition for the left side and two `1`’s fit the condition for the right side`2 xx 1` `=` `2` `1 xx 1` `=` `1` `(2x xx 1) + (x xx 1)` `=` `3x` Read across to get the factors.`(2x1)(x1)=0`Solve for each value of `x`.`2x1` `=` `0` `2x1` `+1` `=` `0` `+1` `2x` `=` `1` `x` `=` `1/2` `x1` `=` `0` `x1` `+1` `=` `0` `+1` `x` `=` `1` `x=1/2, 1` 
Question 3 of 4
3. Question
Solve for `x`:`3x^2+2x21=0`Hint
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The cross method is a factorisation method used for quadratics.Since the equation is in standard form `(``a``x^2+``b``x+``c``=0)` we can factorise using the cross method.`3``x^2``+2``x``21``=0`Find two numbers that multiply to `3` on the left side and multiply to `21` on the right side. Also, the coefficients of `x` in the factors, when multiplied by the constants, should add to `2x`.`3` and `1` fit the condition for the left side and `7` and `3` fit the condition for the right side`3 xx 1` `=` `3` `7 xx 3` `=` `21` `(3x xx 3) + (x xx 7)` `=` `2x` Read across to get the factors.`(3x7)(x+3)=0`Solve for each value of `x`.`3x7` `=` `0` `3x7` `+7` `=` `0``+7` `3x` `=` `7` `x` `=` `7/3` `x` `=` `2 1/3` `x+3` `=` `0` `x+3` `3` `=` `0` `3` `x` `=` `3` `x=2 1/3, 3` 
Question 4 of 4
4. Question
Solve for `x`:`2x^211x12=0`Hint
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The cross method is a factorisation method used for quadratics.Since the equation is in standard form `(``a``x^2+``b``x+``c``=0)` we can factorise using the cross method.`2``x^2``11``x``12``=0`Find two numbers that multiply to `2` on the left side and multiply to `12` on the right side. Also, the coefficients of `x` in the factors, when multiplied by the constants, should add to `11x`.`2` and `1` fit the condition for the left side and `3` and `4` fit the condition for the right side`2 xx 1` `=` `2` `3 xx 4` `=` `12` `(2x xx 4) + (x xx 3)` `=` `11x` Read across to get the factors.`(2x3)(x+4)=0`Solve for each value of `x`.`2x3` `=` `0` `2x3` `+3` `=` `0``+3` `2x` `=` `3` `x` `=` `3/2` `x+4` `=` `0` `x+4` `4` `=` `0` `4` `x` `=` `4` `x=3/2, 4`
Quizzes
 Solve Quadratics by Factoring
 The Quadratic Formula
 Completing the Square 1
 Completing the Square 2
 Intro to Quadratic Functions (Parabolas) 1
 Intro to Quadratic Functions (Parabolas) 2
 Intro to Quadratic Functions (Parabolas) 3
 Graph Quadratic Functions in Standard Form 1
 Graph Quadratic Functions in Standard Form 2
 Graph Quadratic Functions by Completing the Square
 Graph Quadratic Functions in Vertex Form
 Write a Quadratic Equation from the Graph
 Write a Quadratic Equation Given the Vertex and Another Point
 Quadratic Inequalities 1
 Quadratic Inequalities 2
 Quadratics Word Problems 1
 Quadratics Word Problems 2
 Quadratic Identities
 Graphing Quadratics Using the Discriminant
 Positive and Negative Definite
 Applications of the Discriminant 1
 Applications of the Discriminant 2
 Combining Methods for Solving Quadratic Equations