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Question 592806: find the root of the polynomial equation x^(3)-5x^(2)+7x-35=0
Answer by xavier_daniels18(1)   (Show Source):
You can put this solution on YOUR website! Solve the Equation:
FactorGlossaryfactor One of two or more expressions that are multiplied together to get a product. the greatest common factorGlossaryfactor One of two or more expressions that are multiplied together to get a product. (GCFGlossaryGCF G reatest C ommon F actor; the largest number that divides two or more numbers evenly. ) from each group. Click here for more detail on this step
FactorGlossaryfactor One of two or more expressions that are multiplied together to get a product. the polynomialGlossarypolynomial An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers. by grouping the first two termsGlossaryterm Any expression written as a product or quotient. Example: 2xy , , or together and finding the greatest common factorGlossaryfactor One of two or more expressions that are multiplied together to get a product. (GCFGlossaryGCF G reatest C ommon F actor; the largest number that divides two or more numbers evenly. ). Next, group the secondGlossarysecond A unit of measure for angles equal to 1/60 of a minute. two termsGlossaryterm Any expression written as a product or quotient. Example: 2xy , , or together and find the GCFGlossaryGCF G reatest C ommon F actor; the largest number that divides two or more numbers evenly. . Since both groups contain the factorGlossaryfactor One of two or more expressions that are multiplied together to get a product. (x-5), they can be combinedGlossarycombine To join, or bring together. .
SetGlossaryset A well-defined group of objects. each of the factorsGlossaryfactor One of two or more expressions that are multiplied together to get a product. of the left-hand side of the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . equal to 0.
x-5=0
Since 7 does not contain the variableGlossaryvariable A letter used to represent a number value in an expression or an equation. to solve for, move it to the right-hand side of the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . by subtracting 7 from both sides.
x-5=0
Take the squareGlossarysquare A quadrilateral with four equal sides and four angles. rootGlossaryroot The root of an equation is the same as the solution to the equation. of both sides of the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . to eliminateGlossaryeliminate To remove, to get rid of. the exponentGlossaryexponent A number that indicates the operation of repeated multiplication. on the left-hand side.
x-5=0
Pull all perfect square rootsGlossaryroot The root of an equation is the same as the solution to the equation. out from under the radicalGlossaryradical A root sign (symbol: ). . In this case, remove the i because it is a perfect squareGlossarysquare A quadrilateral with four equal sides and four angles. . Click here for more detail on this step
x-5=0
MultiplyGlossarymultiply To compute a product; to perform a multiplication. i by to get
x-5=0
Arrange the variablesGlossaryvariable A letter used to represent a number value in an expression or an equation. alphabetically within the expressionGlossaryexpression A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 Wi. This is the standard way of writing an expressionGlossaryexpression A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 .
x-5=0
First, substitute in the + portion of the to find the first solutionGlossarysolution 1. The value of a variable that makes an equation true. 2. In chemistry, a solution is a homogeneous mixture composed of only one phase. .
x-5=0
Next, substitute in the - portion of the to find the secondGlossarysecond A unit of measure for angles equal to 1/60 of a minute. solutionGlossarysolution 1. The value of a variable that makes an equation true. 2. In chemistry, a solution is a homogeneous mixture composed of only one phase. .
x-5=0
The complete solutionGlossarysolution 1. The value of a variable that makes an equation true. 2. In chemistry, a solution is a homogeneous mixture composed of only one phase. is the result of both the + and - portions of the solutionGlossarysolution 1. The value of a variable that makes an equation true. 2. In chemistry, a solution is a homogeneous mixture composed of only one phase. .
x-5=0
SetGlossaryset A well-defined group of objects. each of the factorsGlossaryfactor One of two or more expressions that are multiplied together to get a product. of the left-hand side of the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . equal to 0.
x-5=0
Since -5 does not contain the variableGlossaryvariable A letter used to represent a number value in an expression or an equation. to solve for, move it to the right-hand side of the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . by adding 5 to both sides.
x=5
The complete solutionGlossarysolution 1. The value of a variable that makes an equation true. 2. In chemistry, a solution is a homogeneous mixture composed of only one phase. is the setGlossaryset A well-defined group of objects. of the individual solutionsGlossarysolution 1. The value of a variable that makes an equation true. 2. In chemistry, a solution is a homogeneous mixture composed of only one phase. .
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