Use the binomial squares pattern to multiply (x + 9).

Q: Find the product. (8x3 + 3)(x2 - 5)

A: To find product (8x3  + 3)(x2  - 5)

Q: Find the product : (8x3 + 3)(x2 - 5).

A:

Q: Describe the process of multiplying two polynomials.

A: A polynomial is defined as the expression of more than two terms separated by the sign of summation…

Q: Multiply using the rule for the square of a binomial. (x- 10)2 (x – 10) = %3D

A:

Q: Use the binomial theorem to expand and simplify.(x2 + 2y)3

A: To expand and simplify the given equation using binomial theorem

Q: Find the product. (3x + 2)(3x - 2)

A: Given :3x+2 3x-2To determine the product .

Q: What is the result when you square a binomial?

A: The value of a+b2=a2+2ab+b2.

Q: Determine if the binomial is a factor of the polynomial. Divide -x3 + 4x2 - x - 3 by x + 2.

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

Q: Find the product : (4x2 - 1)2

A:

Q: he the square of a binomial 3: Find the product of (3x + 4)²

A:

Q: Multiply the binomials. (x− 4)(x− 4) Factor x2 − 8x + 16.

A: First question:

Q: Find the product:: (7x + 3y)(7x - 3y).

A: The given expression is (7x + 3y)(7x - 3y). Formula used: a2-b2=(a+b)a-b

Q: Multiply these binomials (4x-7y)(6x-y)

A:

Q: x2 - 6x ≥ 13

A:

Q: Find the product. (x + 5)(x2 - 5x + 25)

A: Given,              ( x + 5 )( x2- 5x + 25 )

Q: Factor 3x2 - x - 10.

A: Given : 3x2-x-10

Q: Find the sum of the polynomials -3x +7x - 8 and 5x -7x+2.

A: As per the company guidelines given to us  I am allowed to  solve first question. I hope that the…

Q: Find X 10 2x 2a +3

A:

Q: Multiply the binomial (9x2-7y2) (x2-4y2)

A:

Q: Use the binomial theorem to expand and simplify the expression.(2x + y3)4

A: Simplify the expression: 2x+y34.   Apply Binomial theorem: a+bn=∑r=0nCrnan−rbr. Therefore,…

Q: Find the product : (7x + 4)(3x + 1).

A: Given: 7x+43x+1 we simplify given expression

Q: Find the product: (2x + 5) (x2 - x + 2)

A: Given:To find the product: (2x + 5) (x2 - x + 2)

Q: Multiply using the rule for the square of a binomial. (x-10)2 (x-10) = x² - 20x+ 100

A: Given expression is (x-10)2

Q: Find the product. (2x - 3)(5x + 3)

A: To find product of 2x-35x+3 Solution: Finding product of given expression,…

Q: Find the product. (2x - 5)(7x + 2)

A: The given product is, 2x-57x+2 Now, multiply the two expressions given in the bracket as follows,…

Q: The area of Mr. Smith’s rectangular classroom is x2 − 25. Which of thefollowing binomials could…

A: Area= (length)(width)      Or, x2 - 25= (x+5)(x-5)

Q: Express (x+6) as a trinomial in standard form.

A:

Q: Find  product.  (3x2 + 2y)2

A:

Q: Find the product. (x + 5)2

A: Given:fx=x+52Formula:a+b2=a2+b2+2ab

Q: Find the product. (2x - 3)(x2 - 3x + 5)

A: The given expression is (2x-3)(x2-3x+5).

Q: -3x + 15x + 11 = 0

A:

Q: a) x²-3x ≥10

A: Firstly we find critical points  of the inequality then we check critical points intervals lies on…

Q: Use the binomial theorem to expand and simplify.

A: Formula for binomial expansion - a+bn = nC0anb0 + nC1an-1b1 + nC2an-2b2 + nC3an-3b3 +…

Q: Use the binomial theorem to expand and simplify (2x² – 4x + 7)°.

A:

Q: Find the product. (4x - 3)(3x + 8)

A: Please refer the attached image for complete solution.

Q: x² - 6x ≥13

A: Solution is written in below steps.

Q: Use the formula for multinomial coefficients to expand (x^1 + 2x^2 + 3x^3)^4

A:

Q: Find the product. (2x + 3)2

A: Given: 2x+32 we know that a+b2=a2+2ab+b2                                       ..1

Q: Use the FOIL Method to Multiply: (7x - 5)(4x - 3).

A: 7x-54x-3

Q: Find the remainder when x-4x+ px - 8 is divided by x-4.

A:

Q: Find the product : (x - 3y)(2x + 7y)

A: Given equation is (x-3y)(2x+7y)

Q: Factor. x² + 3x – 70 -

A:

Q: Multiply the two binomials (2x+2)(4x-1)=

A: The objective is to multiply two binomials.

Q: How do we multiply two polynomials if neither is a monomial?

A: To multiply two polynomials, we multiply each term of the first polynomial to every term of second…

Q: Multiply this binomial using the box method. (x-2)(x+3)

A:

Q: Find the product : (2x - 3)(x2 - 3x + 5).

A: The given polynomial in the grouping form is: (2x - 3)(x2 - 3x + 5) To find the product of the…

Q: Find the product. (4x2 - 1)2

A: Given: 4x2-12

Q: Use the binomial square pattern to multiply (m^3-n)^2

A: The square of a binomial is the sum of: the square of the first terms, twice the product of the two…

Q: X2+5x+14

A: Given problem is

Q: Subtract the 2 polynomials (2/3x2-2/3x-9)-(1/5x2-1/4x3-10)

A:

Q: The binomials (x- 2) and (2x +3) are the factors of which polynomial?

A: We have to find the polynomial which the binomials (x - 2) and (2x + 3) are the factors . Then ,…

Q: Find the product : (x + 5)(x2 - 5x + 25).

A: Here given as x+5x2-5x+25

Q: Find the product. (x + 7)(x + 3)

A:

Q: Find the product : (7x + 5y)2

A: The given expression is 7x+5y2. Expand it as follows.

Q: Use the Binomial Theorem to simplify (x – 2)3 as a polynomial ax3 + bx? + cx + d.

A:

Q: Find the product. (2x + 3)3

A: Find the product. (2x + 3)3

Q: Find the square of the​ binomial:   3m+2

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.