Simplify the expression ( -6x3 – 4x2 +3x +2)=(3x+2)
Please use long division method and include steps
Answers
Answer:
(-6*x^3-4*x^2+3*x+2)-((3*x+2))=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
((((0-(6•(x3)))-22x2)+3x)+2)-(3x+2) = 0
STEP
2
:
Equation at the end of step
2
:
((((0 - (2•3x3)) - 22x2) + 3x) + 2) - (3x + 2) = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
-6x3 - 4x2 = -2x2 • (3x + 2)
Equation at the end of step
4
:
-2x2 • (3x + 2) = 0
STEP
5
:
Theory - Roots of a product
5.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
5.2 Solve : -2x2 = 0
Multiply both sides of the equation by (-1) : 2x2 = 0
Divide both sides of the equation by 2:
x2 = 0
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ 0
Any root of zero is zero. This equation has one solution which is x = 0
Solving a Single Variable Equation:
5.3 Solve : 3x+2 = 0
Subtract 2 from both sides of the equation :
3x = -2
Divide both sides of the equation by 3:
x = -2/3 = -0.667
Step-by-step explanation: