Express the rational function as a sum or difference of two simpler rational expressions. 6x4 + x3 + 99x2 + 8x + 404 (x + 1)(x2 + 9)2

Q: Reduce the  rational expression to lowest terms (3y2 - y - 2) /  (3y2 + 5y + 2)

A: Given the rational expression (3y2-y-2)(3y2+5y+2)

Q: Simplify by dividing the two rational expressions 2x2-5x-3 4x-1 Simplify X -16 2x +7x-4 Select one:…

A: We will simplify each of the fraction and then divide them.

Q: Determine the non-permissible for the rational expression A) 16x^3 / 2x+12 B) 3x^2+2x / x^2 - 6x C)…

A: Non-permissible value for a rational function is a value of variable which makes denominator equal…

Q: synthetic division to find the result when 3x^{4}-25x^{2}-8x+63x4−25x2−8x+6 is divided by x-3x−3. If…

A: Given query is to perform synthetic division.

Q: The restricted values of the variable for a rational expression are those that make the denominator…

A:

Q: Determine the values for which the rational expression is undefined. 5a^2/x

A:

Q: What is the remainder when f(x) = - 3x17 + x9 - x5 + 2x is divided by x + 1?

A:

Q: Is there any value of x that must be excluded? Rational expressions contain fractions and we…

A:

Q: Solve the rational equation. 6) 6 + 5 = 13 7) 12 24 x-1 X+5 8) 3. x+4 X+12 x²+5x+4 %3D x+1 2.

A: To solve the equations

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

A: The denominator can never be 0. Because division by 0 is undefined.

Q: Find all numbers that must be excluded from the domain of the rational expression : (x - 3) / x2 +4x…

A:

Q: Find the domain of the rational function f(x)=(5x2)/((x-3)(x+7))

A:

Q: Express the rational function as a sum or difference of two simpler rational expressions. 3x4 x2 −…

A:

Q: 4. Determine whether or not the rational expressions x + 4 2x+8 are equivalent. and (+ 2)(x- 3) 2(x…

A: Solve by common method

Q: What is the domain of the rational function  f(x) =4x2-5x/5x-15

A:

Q: Simplify the rational expression. 2x - 3x -2 6x° + 3x2 + 2x +1 2x - 3x - 2 6x° + 3x + 2x + 1 3

A:

Q: Find all values of the variable x for which the rational expression is undefined. 4х + 9 x2 – 4x 21…

A:

Q: For Exercises 15-16, find all the rational zeros. 15. p(x) 2r - - 5x + 2x + 2 16. q(x) = x* + - 7 -…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3メ-(」 2 -5¢ x+ 7 x2 -6X t 8 1. Fx) = 2.h(x)= 3. 16) - ²tox -g メtモ

A:

Q: (4x2-3х+6) dx х*(х-2)

A:

Q: 15) Rationalize the denominator of the fraction - 4-V7 3+V5 16) Add. 3 X-2 2- Part C17 Solve :3 +5…

A:

Q: The restrictions on the variable in the rational equation 1 2x - 1 x - 2 x + 4 x* + 2r - 8 are and…

A:

Q: Reduce the given rational expression to lowest terms. x2 +2x- 15 x2 -6x +9 x2 + 2x - 15 x2 -6x+9…

A: Factories denominator and numerator.

Q: 7. How will you check if your solution is correct? a by eliminating the rational expressions b. by…

A:

Q: What is the remainder when f(x)= - 3x17 + x9 - x5 + 2x is divided by x + 1?

A: f(x)=-3x17+x9-x5+2x is divided  by x+1

Q: Stherwise it will not be considered. Multiply each rational expression. Solutions and Answers mast…

A:

Q: Given the rational function x³+ 3x² r(x) = (x + 2)2

A: Given,           The rational function is rx=x3+3x2x+22 .

Q: Find all numbers that must be excluded from the domain of  rational expression. [(x - 3/x2 + 4x -…

A: Given rational expression is x-3x2+4x-45 A rational expression is defined if denominator is not…

Q: The restrictions on the variable in the rational equation [(1/x - 2) -(2/x + 4)] =[(2x - 1/x2 + 2x -…

A: We have  1x-2-2x+4

Q: If f(x) = 5x² - x + 5, then what is the remainder when f(x) is divided by a 2? -

A:

Q: Find the domain of the rational function  -4x2/(x-1)(x+9)

A: put denominator equal to zero and solve the equation(x-1)(x+9)=0x-1=0           or         x+9=0x=1…

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

A: ( x - x2 ) / ( x2 + x - 2)

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

A:

Q: Find the domain of the rational function f(x) =5x/(x - 4).

A: Consider the provided function, fx=5xx-4 Find the domain of the rational function. The domain of the…

Q: Find the domain of the rational function: f(x) =7x/(x - 8)

A: Given,          fx=7xx-8

Q: If f (x) = x + 5x-4, then what is the remainder when f(x) is divided by x - 8?

A: We will use remainder theorem to find remainder.

Q: Ron found that combining the two rational expressions using the least common denominator provided…

A: The expression is given by 52x+2y4xy To evaluate: The most simplified form of the sum.

Q: Find the domain of the rational function. R(x)=(-3x2)/(x2+7x-30)

A:

Q: What is the LCD of these three rational expressions? 1 4. 3z2-6z 1 z+3 12+1-6 O r +x - 6 o (3x2 -…

A:

Q: 7/2x^2-8x+5 and I need to list the numbers that must be excluded from the domain of the rational…

A: We have given rational expression fx=72x2-8x+5 Function is not defined if denominator is 0. Values…

Q: Is the sum of two rational numbers always a rationalnumber?

A: Given: Let a/b and c/d be two rational numbers where a ,b ,c and d are integers ,b and c not equal…

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: While reducing the fraction 200..0z 300...0y (x, y + 0) in which between 2 and a and between 3 and y…

A:

Q: 2x + 3 x² + 2x + 4

A: To integrate the rational function. ∫2x+3x2+2x+4 dx

Q: A polynomial f(x) = x³ + ax² – 3x + b when divided by 91 (x) = x – 2 gives a remainder of 6 and f(x)…

A: Given:             fx=x3+ax2-3x+b using remainder theorem: fx=x3+ax2-3x+b is divisible by g1x=x-2…

Q: While reducing the fraction \frac{2000...0x}{3000...0y}, (x,y\ne 0) in which between 2 and x and…

A:

Q: -6 -5 1 -1- -2 -3 6. 5. 4. 3. 2. 9,

A:

Q: Find all numbers that must be excluded from the domain of  rational expression. [(x - 1/x2 + 11x +…

A: We have to find the numbers which must be excluded from the domain of the rational expression:…

Q: if f(x) = x^5-5x^2-2 then what is the remainder when f(x) is divided by x+1?

A: Given: fx=x5-5x2-2

Q: The value of f(3) for the polynomial f(x)=x3+x2-5x+3 is 24. What does this mean in terms of…

A: Given:  f(x) = x3+x2-5x+3 Now we have f(3) = 24