The product two odd integers is even, whereas the product of an odd integer and an even integer is even.

Q: -2 -4x S so*x²dydx

A:

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: What is the product of the following? (x-5)2 O x2 – 10x + 25 O x2 + 10x + 25 O 22 – 25 O a2 + 25x –…

A: From the given problem: x-52 Now we can write as: x-52=x-5·x-5 Applying the distributive property:…

Q: Create a cubic expression that when divided by (x-1) will have a remainder of 6

A:

Q: verify that A(B + C) = AB + AC

A: Now,

Q: The area of a rectangle is (x^2 + 8x + 12) cm^2. If the length of the rectangle is (x+6) cm, show…

A:

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

A:

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

A:

Q: The remainder upon the division of x 98 + 4 by x – 4 in Z, is: 1 None

A:

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

A: The area of a rectangle is given by the following expression Area = x4-9y2 Formula Used : m2-n2 =…

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

A: Solution

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: on Ax) = %3D , as x →-o? x - 6x + 5 ' .2 - 6x+

A:

Q: The number of polynomials having zeroes as -2 and 5 is

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: Divide (X3 + 8X2 + 5X – 14) by (X – 3) X2 + 11X + 38 + 100/(X - 3) None of these. x2 + 5X – 10 +…

A:

Q: The product of x++ x³ + 2x² and 2x² + 4x + 6 in z, [x]/is: 4x+1 X^2+2 5x^2+ 5x +1 None O

A: A complex number is an element of a number system that contains the real numbers and a specific…

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: What is the largest number k for which 2x+3y=20 and 3x+4y=k have the same number if positive integer…

A: Given that, there are two equations following, 2x + 3y = 20…

Q: Show that whether x5 + 10x3 + x + 1 is O(x4) or not?

A:

Q: If x = 0.8, then [x] – x = 1. -0.8 2. -1 3. -1.8 4. 1

A: The function, f(x)=x , denotes the greatest integer function.  For, x∈R, the function, f(x)=x ,…

Q: If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?

A: Explanation of the answer is as follows

Q: For the remainder of the division of x-2x²+3kx+18 by x-6 to be equal to zero, k must be equal to?

A:

Q: When P(x) is divided by (x-1), the remainder is 3. When P(x) is divided by (x+1), the remainder is…

A:

Q: does the eqations |2x+1|=|3x+4| and |2x+1|=3x+4 have the same solutions

A:

Q: What is the result when 2x + 13x° + 17x2 - 10x 1 is divided by r(x) x + 3? If there is a remainder,…

A:

Q: xdx 5) (* -4)

A: ∫25xdxx2-43

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: Find x, and x2.· - 5 - 4 X1 - 55 4 - 5 X2 3 X1 = %3D II

A: To find x1, x2

Q: Express each of these fractions as the sum of two or more fractions with simpler denominators.…

A: Given  Y = (2X³-X²+13X-5)/(X²+5)². We can apply simple arithematic operation to break above function

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

A:

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

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: The product of 2x³ + 3x² +1 and 2x² + 4 in z5[x]/ is: None 5x^2+ 5x +1 x^2+2 4x+1

A: Group of integers modulo 5 Z5=0, 1, 2, 3, 4 Now  Z5x denotes the ring of polynomials with…

Q: If x > y and a are a negative real number, this always applies

A:

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

A:

Q: If Va and Vb are real numbers and b + 0, the quotient rule for radicals states that a

A: Consider the given expression as abn

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: Find two factors of the first number such that their product is the first number and their sum is…

A:

Q: . Ifx %3D — 0. 8, then [x] +х3 1. -0.8 2. -1 3. -1.8 4. 1 1

A: We are given to find value of  [x] + x = ? If x = -0.8 Now here    [x] is the greatest integer…

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: how many polynomials are in this equation x^5-2x+x^9-9x^6

A: This is single polynomial of degree 9

Q: What is the sum of the polynomials 1 - 2x + 3x^2 and 8x^2 + 30x - 6

A: sum of the polynomials 1 - 2x + 3x^2 and 8x^2 + 30x - 6 = 1 - 2x + 3x^2 + 8x^2 + 30x - 6

Q: 10. Find the three positive numbers whose sum is 60 and whose product is as large as possible.

A: Here we have to find three positive numbers such that there sum is 60 and there product must be…

Q: Discuss the possibilities for the roots to : 2x'-5x - 6x+4 = 0 12. 3x - 5x -x² -8x+4 =0

A: We can use Descartes rule of signs to check the nature of possible roots of the given function, P(x)…

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

A: