ow by contradiction that if 5x2+ 3 is irrational, then x is irrational. -

Q: 1 The rational expression can still be decomposed. (9x2 + 16)? A FALSE B) TRUE

A: The rarational expression in implicit form therefore cannot be decomposed

Q: V5- 20 is a rational number.

A:

Q: 2. Determine the quotient and remainder. (3x* – 5x' +x² -x-1) + (x² – 2x)

A: Given: Using long division,

Q: 9) Find the zeros of y = 9x? – 1.

A:

Q: show that the equation x³+x²-3=0 has no rational roots, but that it does have an irrational root…

A: i used rational zeros theorem for proving it has no rational root

Q: Let S = {(x, y) : x and y rational numbers}. a. What is the interior of S? Justify your answer by…

A: A point x is said to be an interior point of S if there exists a neighborhood N(x) of x such that…

Q: The reminder on dividing P(x)= 2x³ + 3x? - 4x- 3 by x+ 4 is (-76) True False

A: You can solve this question by performing the Long-division method.

Q: One of the roos of the cquation x+3x-6=0 1s

A: The given equation equation is x2+3x-6=0

Q: olonio edt lo Find the solution to the rational cquation, if it cxists. 5 3 6. a2 – 2a a a – 2 of…

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: Which statement about k (x) x² -2x + 15 is true? %D - O The zeros are -3 and 5 O The zeros are -5…

A:

Q: The leading term of ?(?)=x2+4x3+1 is 4x3. How can you say that 4x3 is the leading term?

A: Given, f(x)=x2+4x3+1

Q: What are the solutions of the équation below? 5x(x + 8) = 0

A:

Q: In APOR, PR is extended through R to T. If MZQPR = (3x+6)°, m/PQR (2x-6)°, and MZQRT = 150°, find…

A:

Q: Find the Bernstein Poly nomial when You put n =5. that means want to find Ba (f(x)

A: Berstein polynomial for a real valued function f on interval [0, 1] is defined as…

Q: perform the indicated operations involving rational expressions. Express final answers in simplest…

A: Given expression: 3x2-20x+252x2-7x-15÷9x2-3x-2012x2+28x +15

Q: perform the indicated operations involving rational expressions. Express final answers in simplest…

A: The rational expression: 2x2+3x2x3-10x2×x2-8x+153x3-27x÷14x+21x2-6x-27

Q: What is the x-intercept of the fraction 9-x over x-5

A: To find the x- intercept put y=0

Q: oan What is the result when 2x + 13x2 + 15x 15 is divided by x +3? If there is a r(x) . (2)q…

A:

Q: Show by contradiction that if 10x2+ 2 is irrational, then x is irrational. 5

A:

Q: The reminder on dividing P(x) = 2x³ + 3x2 – 4x – 3 by x+ 4 is (-76) True False

A:

Q: Find the length of side x in simplest radical form with a rational denomir 60 7 30 X

A: Solve the following

Q: What is the result when 2x- 13x2 - 5x - 14 is divided by - 7? r(x) If there is a remainder, express…

A: We have to find result when 2x3-13x2-5x-14 is divided by x-7

Q: 12) Use the discriminant to determine the number and types of solutions for: 5x2 + 6x - 2 = 0

A: Given, The quadratic equation  5x2 +6x-2 = 0   We have to use the discriminant to find number and…

Q: 4. Show that the real number VV2 – 2 is algebraic. (Here 2 is a real number that satisfies (2)3 =…

A:

Q: is 0.19 rational or irrational ? explain

A: Answer is- It's a rational no. because we can write in the form of a/b. Explanation is given…

Q: b2-4ac is zero there will be

A:

Q: Which statement about 6x + 7x – 10 is true? O One of the factors is (x + 2). O One of the factors is…

A: To factorise ax2+bx+cwe have to break 'b' in such a waythat sum is 'b' & the product is ac.

Q: Is 5 a root of x* 5x' + 8x– 40? Is (x + 1) a factor of x- 1?

A:

Q: Which of the se poly nomials have X-2) as a factor? 5. (x)= 8x4-41x3 - 18x?+10lx7o %3D

A: We need to check if (x-2) is a factor of polynomial or not.

Q: Factor. (If the expression is nonfactorable over the integers, enter NONFACTORABLE.) 16 − 49y2

A:

Q: The reminder on dividing P(x) = 2x³ + 3x? – 4x - 3 by x+ 4 is (-76)

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

Q: 17. Use the previous exercise to determine whether or not 6x* – 23x + 32x – 19x+4 has a multiple…

A:

Q: Evaluate the expresslon when a=7 and x=-3. -a+6x

A: A detailed solution is given below

Q: Describe and correct the error in classifying the number. X. V144 ls Irratlonal. Since 144 is a v.…

A: We have to find the number

Q: Show that V3 +2/6 is an irrational number.

A: A rational number can be represented as pq, where p, q are integers and q≠0. If a number can not be…

Q: Soive for the quotient of the foiiowing 1.) x -x-9x + 9 + x-3 2.) x? + 2x2 - 9x -18 + x +2 3.) x +…

A:

Q: , ABDE is a rectangle, △BCD is equilateral, and AD is parallel to BC. Also, AE = 2x for some real…

A: In the diagram, ABDE is a rectangle, △BCD is equilateral, and AD is parallel to BC. Also, AE = 2x…

Q: How many nonnegative integer solutions of x₁ + x2 + x3 + 4 = 12 are there in which no r; exceeds 4?…

A: The given problem is to find that number of nonnegative integer solutions for the given equation…

Q: You should enter the coefficients of the powers of x of the sum in the boxes. 7(-2x? – 9x – 7) – 7…

A:

Q: What are the IRRATIONAL ZEROS of  P(x)=8x^5-14x^4-22x^3+57x^2-35x+6 (enter all answers including…

A: To find all the IRRATIONAL ZEROS of

Q: find p(6) for p(x)=12x3-15 by using the reminder theorem

A:

Q: Show that if r is a rational number, then 2r2+3r+ 1 is rational as well.

A:

Q: If an irrational number is decreased by 2V18 result is V2. What is the number? V50, the

A: To find An irrational number when it is decreased by 218-50 and result…

Q: Which of the following is a product of the rational expressions? 4 2 5x x-1 O Choice A A 6x-1 Choice…

A:

Q: Which is a factor of P(x) =  x^3 - 2x^2 - 5x +6 , x-1 or x+1? Explain. Which is a root of P(x)  x^3…

A:

Q: If p(x) = 7x+9 then p(2)=?

A:

Q: What are the oots of the cquaion? 15x2-2x+\=0

A: we have to find the roots of the equation: 15x2-2x+1=0

Q: hat are all the real zeros of y=(x-12)3-7?

A: We have to find the real zeros of y=(x-12)3-7.

Q: Use a trig substitution to eliminate the root. √(7 - w2)

A: We have the given expression as 7-w2