The product of any integer and 2 is greater than 2.

Q: Which of the following is the correct complete factorization of x4 - 1?…

A: To find the complete factorization of x4-1. Solution: We know that, a2-b2=a+ba-b Factorizing the…

Q: A playground is (x+7) units long and (x+3) Units way. If a square of side x is sectioned off from…

A:

Q: Consider nonnegative integer solutions of the equation xi + x2 + x3 + x4 + x5 + æ6 = 30.

A: The non-negative integer equation is x1+x2+x3+x4+x5+x6=30Since ,xi-number varying from 0 to…

Q: Solve the following polynomial. X4 - x2 -28= 0

A:

Q: Is there a real number whose square is –1? a. Is there a real number x such that _? such that x =…

A: In general, there does not exist any such real number whose square is a negative real number. Hence,…

Q: Two negative integers are 8 units apart on the number line and have a product of 308. Which…

A:

Q: (f) The sum of the squares of the odd integers between 0 and 100.

A: Explained below

Q: Prove: The difference of the squares of two successive integers is equal to the sum of the integers.…

A:

Q: 15) The product of two consecutive odd integers is 143. Find all this condition.

A:

Q: Suppose X ÷ ( – 2) is 7x? – 2x – 6 with remainder 5. - - Then X %3D

A:

Q: Find two positive integers such that the sum of the first number and five times the second number is…

A: Solution

Q: 4.  Show that X2? −4 is a factor of x4− 5x3 +2x?2+20x−24.

A:

Q: A factor of -64 + x^2 is: О х- 2 O x-4 х-4 O x-8 X - O O

A:

Q: For each positive integer n, find the number of positive integers that are less than 210n which are…

A: ANSWER :

Q: - Find two positive even consecutive integers such that the square of the smaller integer is 10 more…

A: Consider the first even positive integer be 'x'. The second consecutive even positive integer be…

Q: Use the fact that x'-6x = 2 has no integer solution to prove there do not exist 3 consecutive…

A:

Q: If x, y and z are real numbers and x*y°z0 > 0, which of the following must be positive?

A: Given  x8y9z10>0

Q: find all real solutions of 1/x-1+1/x+2=5/4

A:

Q: Find the solution for an = an-2 for n22 and ao = 5, a1 = -1.

A:

Q: Three possible products whose factors multiply to  − 2 are

A: Consider x, y, and z as the three factors of the product -2. The possible values for the three…

Q: / Find A" if 1 2 3 A = 4'1 5 1 %3D

A:

Q: If the sum of the coefficients of all even powers of x in the product (1 + x + x² + ... + x2n) (1 –…

A: Introduction :

Q: Find a counterexample to the statement that every positive integer can be written as the sum of the…

A: Claim: Every positive integer can be written as the sum of the squares of three integers. The given…

Q: solve for z 11=9/(z^2-3)

A: We have to solve for z

Q: The product two odd integers is even, whereas the product of an odd integer and an even integer is…

A: The product of two odd integers is odd. The product of an odd integer and an even integer is even.

Q: find all real solutions of 10/x-12/x-3+4=0

A:

Q: Which of the following is the correct complete factorization of x4 - 1? (x-1)^{2}(x+1)^{2}

A: Given, x4-1

Q: If x is an integer, what is the greatest value of x which satisfies 5 < 2x + 2 < 9?

A: First of all, consider the definition of an integer. An integer is defined as the whole…

Q: Of(x) = x? – 3x +1 Of (x) = 3x² – 6x + 1 Of (x) = 3x² + 6x – 3 Of (x) = x² + 3x – 3

A: Solution:to find the equation of graphed quadratic function

Q: If [x² - 2x + a] = 0 has no solution, then find where [] represents the greatest integer).

A:

Q: Find x, and x2. - 5 1 6- 15 -2 3 X2 - 3 17 X1 %3D X2 =

A:

Q: 1. Find two consecutive even integers whose product is 168.

A: Find two consecutive even integers whose products is 168.     Here i attached the solution of this…

Q: Determine the number of integer solutions to the equation below: X1 + x2 + x3 + X4 + x5 = V subject…

A:

Q: Solve the inequality for real x:  3x – 7 > 5x – 1

A: Given inequality:

Q: How many positive integer solutions are there to x1 + x2 + x3 =15 ?

A: From the given information we want to find How many positive integer solutions are there to x1 + x2…

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: find all the zeroes x^4–6x^2–7x–6=0

A: Given that, x^4–6x^2–7x–6=0

Q: What are three possible products whose factors multiply to -2

A: To find  The three possible product whose factors are multiply to -2.

Q: (a) Factorise z6 + 1 over the real numbers.

A:

Q: In(x + 1)2 = 2

A: To solve the below equation for x. lnx+12=2

Q: Show that the real number V2- 2 is algebraic.

A:

Q: Which of the following is a factor of (2x³ - 13x² + 17x + 12)? X - 3 O x+2 X - 1 X + 4

A: Let the given polynomial equation be f(x).

Q: Find the number of integer solutions of X +x, +x, = 10 subject to the conditions given. a. 저20,%…

A: Integer solution

Q: Show that x^2 + 1/x^2 is greater than or equal to 2.

A: A.M  is greater than or equal to G.M

Q: Suppose y is a positive integer. If x-(-y) = z, will z be greater than or less than x? Explain your…

A: Given x--y=z ......1 where y is a positive integer.

Q: Find the value of x for which (8x+4) , (6x-2) and (2x+7) are in AP

A:

Q: 3. If the area of a rectangle is expressed as x* - 9y? then the product of the length and the width…

A:

Q: Find the number in (xER:- 5< x< 1} such that the sum of thrice the number and its square is a…

A: