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How do you factor the polynomial 12x2-5x-2? - Answers

Assuming you mean 12x2 - 5x - 2, use the reverse FOIL method. But, first, multiply the two end number together (12 * -2 = -24). Then find two numbers whose product is -24 and sum is -5. These two numbers are 3 and -8.3 * ( -8 ) = -24 and 3x + ( -8x ) = -5xNext, we use those factors found in the previous step and group them together.12x2 - 5x - 212x2 + 3x - 8x -2( 12x2 + 3x ) ( -8x - 2 )Next, take out the common factors from each group( 12x2 + 3x ) ( -8x - 2 )3x ( 4x + 1 ) - 2 ( 4x + 1 )Lastly, group the two ungrouped terms multiplied by their common factor ( 4x + 1 )3x ( 4x + 1 ) - 2 ( 4x + 1 )( 3x - 2 ) ( 4x + 1 )Next, we check the work by usingthe FOIL method.( 3x - 2 ) ( 4x + 1 )F ... 3x * 4x = 12x2O ... 3x * 1 = 3xI ... -2 * 4x = -8xL ... -2 * 1 = -212x2 + 3x - 8x - 2Combine like terms12x2 - 5x - 2



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How do you factor the polynomial 12x2-5x-2? - Answers

https://math.answers.com/algebra/How_do_you_factor_the_polynomial_12x2-5x-2

Assuming you mean 12x2 - 5x - 2, use the reverse FOIL method. But, first, multiply the two end number together (12 * -2 = -24). Then find two numbers whose product is -24 and sum is -5. These two numbers are 3 and -8.3 * ( -8 ) = -24 and 3x + ( -8x ) = -5xNext, we use those factors found in the previous step and group them together.12x2 - 5x - 212x2 + 3x - 8x -2( 12x2 + 3x ) ( -8x - 2 )Next, take out the common factors from each group( 12x2 + 3x ) ( -8x - 2 )3x ( 4x + 1 ) - 2 ( 4x + 1 )Lastly, group the two ungrouped terms multiplied by their common factor ( 4x + 1 )3x ( 4x + 1 ) - 2 ( 4x + 1 )( 3x - 2 ) ( 4x + 1 )Next, we check the work by usingthe FOIL method.( 3x - 2 ) ( 4x + 1 )F ... 3x * 4x = 12x2O ... 3x * 1 = 3xI ... -2 * 4x = -8xL ... -2 * 1 = -212x2 + 3x - 8x - 2Combine like terms12x2 - 5x - 2



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https://math.answers.com/algebra/How_do_you_factor_the_polynomial_12x2-5x-2

How do you factor the polynomial 12x2-5x-2? - Answers

Assuming you mean 12x2 - 5x - 2, use the reverse FOIL method. But, first, multiply the two end number together (12 * -2 = -24). Then find two numbers whose product is -24 and sum is -5. These two numbers are 3 and -8.3 * ( -8 ) = -24 and 3x + ( -8x ) = -5xNext, we use those factors found in the previous step and group them together.12x2 - 5x - 212x2 + 3x - 8x -2( 12x2 + 3x ) ( -8x - 2 )Next, take out the common factors from each group( 12x2 + 3x ) ( -8x - 2 )3x ( 4x + 1 ) - 2 ( 4x + 1 )Lastly, group the two ungrouped terms multiplied by their common factor ( 4x + 1 )3x ( 4x + 1 ) - 2 ( 4x + 1 )( 3x - 2 ) ( 4x + 1 )Next, we check the work by usingthe FOIL method.( 3x - 2 ) ( 4x + 1 )F ... 3x * 4x = 12x2O ... 3x * 1 = 3xI ... -2 * 4x = -8xL ... -2 * 1 = -212x2 + 3x - 8x - 2Combine like terms12x2 - 5x - 2

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      Assuming you mean 12x2 - 5x - 2, use the reverse FOIL method. But, first, multiply the two end number together (12 * -2 = -24). Then find two numbers whose product is -24 and sum is -5. These two numbers are 3 and -8.3 * ( -8 ) = -24 and 3x + ( -8x ) = -5xNext, we use those factors found in the previous step and group them together.12x2 - 5x - 212x2 + 3x - 8x -2( 12x2 + 3x ) ( -8x - 2 )Next, take out the common factors from each group( 12x2 + 3x ) ( -8x - 2 )3x ( 4x + 1 ) - 2 ( 4x + 1 )Lastly, group the two ungrouped terms multiplied by their common factor ( 4x + 1 )3x ( 4x + 1 ) - 2 ( 4x + 1 )( 3x - 2 ) ( 4x + 1 )Next, we check the work by usingthe FOIL method.( 3x - 2 ) ( 4x + 1 )F ... 3x * 4x = 12x2O ... 3x * 1 = 3xI ... -2 * 4x = -8xL ... -2 * 1 = -212x2 + 3x - 8x - 2Combine like terms12x2 - 5x - 2

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