Give an example of a rational expression with the given restrictions: x + 0, x + -,x # 5. Write the rational expression in factored form.

Q: Find all numbers for which the rational expression is undefined. + 10 -v-20

A: we have to find all the numbers for which the rational expression is undefined. the given rational…

Q: Find the LCD of the rational expressions in the list 3 4x +20 5x-20

A:

Q: Simplify the rational expression. 2x - 11x-6 - 7x +6 2x - 11x-6 - 7x+6 2

A:

Q: Write the expression as a simplified rationalnumber. 3/50+7/30

A: Given:        350+730   To express as a simplified rational number.

Q: Simplify the rational expression. 2x - 11x-6 2- 7x+6 2x - 11x-6 2- 7x+6

A: Given, 2x2-11x-6x2-7x+6  We have to simplify the rational expression.

Q: Write the rational expression in lowest terms. 5t 25 t2-25

A: Given:

Q: Find all numbers that must be excluded from the domain of the rational expression : 7 / (x - 3)

A:

Q: The rational expression (x3 + 2x2 − 7x + 4) / (x2 − 4x − 12) is improper.Determine whether the…

A: A rational fraction in which degree of numerator is greater than or equal to degree of the…

Q: ²- 2x² -x 2x 2x

A: Explanation of the solution is given below...

Q: What role does factoring play in the simplifying of rational expressions?

A: to tell the role of factoring play in the simplifying of  rational expression.

Q: Write the rational expression in simplest form. x2 - 81 x3 + x 2 - 81x - 81

A: Given that  Expression  (x^2-81)/(x^3+x^2-81x-81) To simplify the expression

Q: Simplify the rational expression. 2x - 11x-6 x - 7x+6 2x2 - 11x-6 2 - 7x+6

A:

Q: Simplify the rational expression. 2-13x-7 2-10x +21 22- 13x-7 2-10x + 21

A: we first factorize the numerator and denominator and then cancel terms if they are getting cancelled

Q: Simplify the rational expression (x4 + 6x3 + 11x2 + 6x) / (x2 + 3x + 2) by using long division or…

A: To simplify the rational expression using long division. (x4 + 6x3 + 11x2 + 6x)(x2 + 3x + 2)

Q: Write the expression as a simplified rationalnumber. 5/24-3/20

A:

Q: Find the least common denominator of the rational expressions.

A:

Q: 12+4x )(3z+1) (3x+1) 20x2-8x (4z)(

A: Follow the procedure given below.

Q: Simplify the rational expression. 3x + 3/ 15 x^2 +24x + 9

A: Given rational expression can be written as

Q: x2 + 6x + 8 x2 X< + 11x + 28

A:

Q: Find all the numbers that must be excluded from the domain of the rational expression: 7x / (x2 - 5x…

A: An expression in form of fxgx is defined for all x such that gx≠0. An expression in which variables…

Q: Rewrite 2x2−x−12 and 1x2−16 as equivalent rational expressions with the lowest common denominator.

A: if you mean x2-x-12x2-16then we rewrite equivalent rational expression. otherwise its not possible…

Q: Simplify the following rational expression, and state the restrictions. 245x-50 x²-8x+12 a) 3x+30…

A: Given data:- a) x2+5x-503x+30÷x2-8x+126x-12 b) x+4x2-9-2x-7x2-5x+6

Q: Simplify the rational expression. 3x - 19x - 14 2-9x +14

A: Factories numerator and denominator and cancel out the common factors.

Q: write the rational expression in lowest term. 2x+3/10x2+21x+9

A: Given rational expression is,

Q: Multiply the rational expressions. 3x - 21 / x . x^2 + 3x / 7x - 49

A:

Q: Find any numbers for which the rational expression is undefined. x+ 8 2x +5

A:

Q: Simplify the rational expression. 2x-7x-30 -7x+6 2x -7x-30 x -7x+6

A:

Q: Find all the numbers that must be excluded from the domain of the rational expression: 9x / (x2 + 3x…

A: Given rational expression: fx=9xx2+3x-18 Domain: The set of the input value (x) where the function…

Q: 3x 33. x-9 2-9

A: Given : x2x2 - 9 - 3xx2 - 9

Q: Reduce the  rational expression to lowest terms (15x2 + 24x) / 3x2

A: We have to reduce the rational expression to lowest terms: 15x2+24x3x2 We know the property,…

Q: Find the LCD of the rational expressions in the list. X 6 4 x2 - 16' x 20- 5x The LCD is. (Factor…

A: The LCD of given rational expressions is obtained below.

Q: Divide the rational expressions. 22-p-2 ² p2-3p+2 2p2 +3p+1 p2 +9p-10

A:

Q: Simplify the rational expression. 2x - 3x- 2 6x + 3x + 2x+ 1

A: 2x2-3x-26x3+3x2+2x+1=2x2-4x+x-23x2(2x+1)+2x+1=2x(x-2)+1(x-2)(2x+1)(3x2+1)=(x-2)(2x+1)(2x+1)(3x2+1)=(…

Q: Given the rational functions, complete the table of values for x= -2, -1, 0,1,2

A: The table of values for x= -2, -1, 0,1,2 should be computed for the given rational functions.

Q: Reduce the  rational expression to lowest terms (4x2 + 8x) / (12x + 24)

A: A polynomial is an expression that is combination of variables raise to some power whereas rational…

Q: Reduce the  rational expression to lowest terms 24x2 / ( 12x2 - 6x )

A: Given : 24x212x2-6x

Q: Divide the rational expressions: 8x 4x2 x2 -5x + 4 x - 1 16x O (x-1)-(x-4) O 1 2 x2-4x

A: Division of rational expression

Q: Simplify the rational expression. 3x2 - 19х - 14 x - 9x + 14 3x2- 19х - 14 x - 9x + 14

A:

Q: Reduce the  rational expression to lowest terms (  x2 + 5x  - 14 ) / ( 2 - x )

A: x2+5x-142-x

Q: Simplify the rational expression by using long division or synthetic division. x3 + x2 – 63x – 56 -…

A: we have to simplify the following.  For this we can use long division method

Q: Simplify the rational expression.

A: An expression is a sentence with a minimum of two numbers and at least one math operation. This math…

Q: Reduce the  rational expression to lowest terms ( 2x2 + 5x - 3 ) / ( 1 - 2x )

A: The given rational expression is, 2x2+5x-31-2x To reduce the given rational expression, we factorize…

Q: 2-6 2-3x X-2 X-2

A: Explanation of the solution is given below...

Q: Simplify the rational expression.

A: GIven2x3-x2-6x2x2-7x+6

Q: Rewrite as equivalent rational expressions with denominator (x- 2)(x - 5)(x – 6). 4x x2 - 7x + 10'x2…

A: Given  7x2-7x+10 To write the equivalent rational expression of given  with denominator…

Q: 3x and- 2x x-2

A:

Q: Simplify the rational expression 2x-6x^2/2x

A:

Q: Write a rational expression that is undefined for x = -10

A:

Q: Find all numbers for which the rational expression is undefined. n-6n

A: n3-6nn2-4

Q: Reduce the rational expression to lowest terms. 2p² + 12p+16 2 4p²-4p-80 2p² +12p+16 4p²-4p-80

A: I am attaching image so that you understand each and every step.