-3 and 4x2 - 5x - 5 are the factors of -12x2 + 15x + 15.
There is no equation or inequality, just an expression. An expression cannot have an answer.
First factor is x, but we need to know the sign of 5x in your equation...
(4x - 1) (3x + 2)
Using the quadratic equation formula: x = -1/4 and x = 2/3
(5x + 3)(4x^2 + 1)
-3 and 4x2 - 5x - 5 are the factors of -12x2 + 15x + 15.
There is no equation or inequality, just an expression. An expression cannot have an answer.
x3 + 12x2 - 5x = x(x2 + 12x - 5) = x(x + 6 - √41)(x + 6 + √41)
First factor is x, but we need to know the sign of 5x in your equation...
(4x - 1) (3x + 2)
Using the quadratic equation formula: x = -1/4 and x = 2/3
You would first factor out anything that is common between the 3 parts. 2x2 is the greatest common factor. To pull out the 2x2, you divide each term by 2x2 like so:12x4/2x2=6x210x3/2x2=5x-12x2/2x2=-6We now know that 12x4+10x3-12x2= 2x2(6x2+5x-6)The next step involves using the "slip and slide" method for the trinomial inside the parentheses:6x2+5x-6x2+5x-36(x+9)(x-4)(x+9/6)(x-4/6)(x+3/2)(x-2/3)(2x+3)(3x-2)Remembering that the result for the slip and slide method only accounts for 6x2+5x-6 we must multiply (2x+3)(3x-2) by 2x2.Your final answer is 2x2(2x+3)(3x-2).
Constant TermDefinition of Constant TermThe Constant Term in an expression or equation has a fixed value and does not contain variables.Examples of Constant TermThe constant term in the equation 6x2 - 3x + 5 is 5.Solved Example on Constant TermChoose the value of the constant term in the expression,- 12x2 + 5x +1.Choices:A. 5B. 1C. 0D. - 12Correct Answer: BSolution:Step 1: - 12x2 + 5x +1. [Original expression.]Step 2: The Constant Term in an algebraic expression or equation has a fixed value and does not contain variables.Step 3: Therefore, 1 is the constant term in the expression, - 12x2 + 5x +1.There You Go Baby ;]
3x(4x - 3)
If it is 20(3-3) it is equal to 0. 20X3-3= 57
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