Please provide three examples of Factoring Polynomials.

Q: Find the perimeter of a square with sides of 6x +5.

A: The perimeter of a square with side s is given by P=4s. Here the side is 6x+5 Hence the perimeter is…

Q: Explain how to factor 3x2 + 10x + 8.

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Q: Please help: Factor out the greatest common factor: 12x3 y3 – 8 x2 y3 + 16xy3 – 4y3. Thank you.

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Q: Add. (4x- 10) + (-x-2) (4x-10)+(-x - 2)=| (Simplify your answer. Do not factor.)

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Q: Determine whether each statement makes sense or does not make sense, and explain your reasoning.…

A: Determine whether each statement makes sense or does not make sense, and explain your reasoning.…

Q: Please give three examples of factoring polynomials.

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Q: Why is it useful to factor polynomial expressions for a given scenario

A: Basically when we simply the polynomial expression by factorising we try to reduce our work load

Q: Write the polynomial in factored form: 2x3 – 2x2 – 24x

A:

Q: Explain how to factor x – 7x + 10 by substitution.

A: x6-7x3+10=x32-7x3+10 Now put x3=y, we get x6-7x3+10=x32-7x3+10=y2-7y+10=y2-5y-2y+10=yy-5-2y-5=y-5y-2

Q: Is the expression a polynomial?

A: Given problem is :

Q: Factor completely 3x4 - 9x3 - 30x2 , or state that the polynomial is prime.

A: If the polynomial is prime then it can not be factored.    Factoring means changing a sum or…

Q: Explain how to factor 3x + 10x + 8.

A: 3x2+10x+8

Q: Describe the first thing that you should try doing when factoring a polynomial.

A: We have to describe the first thing that we do in factoring the polynomial.

Q: Find the LU factorization of -3 -4 A = -3

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Q: F(X)= 12x +48X-96

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Q: Factor completely x4 - 16 , or state that the polynomial is prime.

A:

Q: Suppose that a polynomial contains four terms. Explain how to use factoring by grouping to factor…

A: Lets consider a polynomial P containing four terms: P=T1+T2+T3+T4 We groups 3 terms and leave the…

Q: Explain how to find the degree of a polynomial in two variables.

A: We have to explain how to find the degree of a polynomial in two variables.

Q: What is factoring polynomials by sum or difference in two cubes? Explain with a sentence.

A: Factoring polynomials by sum or difference in two cubes

Q: 4x2 + 25

A:

Q: Find a polynomial that represents the amount of surface on the front face of the door shown below…

A: Length of the entire door = 8xWidth of the entire door =  4x+4Area of the entire door = length *…

Q: 3. 6) 27x +8=

A: We need to write the following polynomial in factored form 27x3+8

Q: How to factorise x4-x-1=0

A: Given  x4-x-1=0

Q: If a polynomial has a greatest common factor other than 1, explain how to find its GCF.

A: If a polynomial has a greatest common factor other than 1.

Q: Factor completely 25x2 - 9, or state that the polynomial is prime.

A: We will use the difference of the square method. a2 - b2 =(a+b)(a-b)

Q: Factor completely: x8-81

A: We can factorise this expression as below

Q: factor completely. 15xy - 6yz

A: 15xy - 6yz

Q: Factor completely x5 - x, or state that the polynomial is prime.

A:

Q: Factor completely XY3 +64X4

A: To factorize :XY3 +64X4

Q: Factorize the polynomial:  x4+4

A: Given,

Q: What is the relationship between the number of factors and the degree of the polynomial?

A: To explain: The relationship between the number of factors and degree of the polynomial. Concept…

Q: Factor completely y3 - 8, or state that the polynomial is prime.

A: We use the difference of the cube formula.  a3 - b3 = (a-b)(a2+ab+b2) with a=y and b=2

Q: Factorize:  4x2 + 9xy +2y2

A: Given,

Q: Explain how to factor 2x? – x – 1.

A: The given polynomial is 2x2-x-1

Q: Factorize completely 13x-6x2-6

A:

Q: Show two methods of factoring 4x2 - 100.

A: Types of Factoring polynomials There are six different methods to factorising polynomials. The six…

Q: Factor completely 15x3 + 3x2, or state that the polynomial is prime.

A:

Q: factor completely. 9x2 - 17x4 + 21x5

A: A polynomial contains a variables and multiple degrees of powers. Given polynomial function is of…

Q: Factor 16x2 – 25y2

A: We need to factor the following expression 16x2-25y2

Q: Write the polynomial z4 – 625 in factored form. -

A: Given that, z4-625 To write a polynomial for the given question First we need to find factors  So,…

Q: Explain how to factor x3 + 1.

A: To explain how to factor x3+1.

Q: thank you Factorize the expressions  1. X2 – x – 30 2. 15x2 + 14x – 8

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Q: If the leading term of a polynomial is -5x^3, what do you know about the end behavior?

A: Given:

Q: Please provide 3 facts about factoring polynomials.

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Q: Suppose that a polynomial contains four terms and can be factored by grouping. Explain how to obtain…

A: Suppose that a polynomial contains four terms and can be factored by grouping. Explain how to obtain…

Q: Factor completely: Зx2 - 75

A:

Q: What do we call a polynomial that is not factorable? *

A: A polynomial can be sometimes factored into lower degree polynomials. Ex: x2 + 5 x + 6 = (x + 2)(x +…

Q: Factor Completely. (x-2)(x+9)2 - (x-2)2(x+9)

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Q: FACTORISE 4×-×^2

A:

Q: Factorise x6+1

A: First consider x2=y. Then,  x6+1=x23+1=y3+1               ∵x2=y Use the algebraic identity…