11. Determine a general rule to help decide whether xa and x + a are factors of I x - a" and x" + a".

Q: as a product of 11 in a other factor

A: Explanation and solutions is given below....

Q: 2) Factor x2 - 12x + 32

A:

Q: Three rational expressions have the following characteristics: a) Rational Expression 1 i. NPV's=…

A: Given that  a) NPV's are 52 and -5 and numerator is a difference of squares polynomial. b) NPV's are…

Q: Factor the following (x² + 5x + 6) 2. x2 -9 II. 1. VOE

A: The objective is to factor the above expressions.

Q: 90. Find m so that x+ 5 is a factor of -3x* – 10x + 20x2 – 22x + m.

A: Given:

Q: Which expressions are factors of x*(6x – 5y) + 4y (6x + 5y) ? Select all that apply. a. r? + 4y? b.…

A:

Q: Q4: Determine whether each of the following is polynomial or not and if it is a polynomial write the…

A: Option (B) and (C) are polynomial Where as option (A) is not a polynomial

Q: 3. Verify x + 2 and x – 4 are factors of P(x) = 8x* – 14x³ – 71x² – 10x + 24. %3D

A: Explanation of the answer is as follows

Q: 22. Evaluate |(x – a) (x – b) (x – c) . . . (x – y) (x – z) where the second term of each factor…

A:

Q: Find the factors of the expression below. 2x?-3х - 14 OA (2x-7) and (X+2) оВ(2х -1) and (x-14) OC…

A: Consider the expression  2x2−3x−14

Q: 20) Determine a polynomial that represents the area of the figure. 20) 3x - 5 3x + 5 A) 9x2 - 25 B)…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: ial x' + 4x? + x – 6?

A:

Q: 5. Ella wanted to know if (x + 5) is a factor of 2x² + x³ – 4x + 6. Is (x + 5)

A:

Q: 2. Factor. 10 x2/5 (4x + 7)/2 +÷ 7 3 7/5 (4x + 7)-1/2 3

A:

Q: А. 4 В. 5 С. 6 D. 7

A: Given x3+4x2-17x-60

Q: factor 3x^3+17x^2-54x+16 into linear factors, Give all factors in exact form.

A: Topic- algebraic factors

Q: Classify the polynomial by the number of terms it contains. 27. x*-3x +2 Choices for 27-30: 28. 8y…

A: Here, to classify the the polynomials by the terms it contains.

Q: Factor.  A) x2-2x-35   B) x2+2x-35

A: A) We will factor -35 so that the sum of the factors= -2 Such factors are -7 and 5 So we write -2x…

Q: Cameron's work is shown below. Which of the following statements is correct? * 22+ 4x-3 x+5 A.) This…

A:

Q: If (x + 3) is a factor of x3 - 13x – 12, what are the other factors. A. (x- 6) and (x + 2) B. (x –…

A: Given data is : If x+3 is a factor of x3-13x-12 What are the other factors.

Q: 3. Consider the following polynomial expression: 4x* – 16x + 13x". Part A: Write the polynomial…

A: I guess the polynomial is 13x⁸+4x⁵-16x² and I am solving it accordingly. Thank you.

Q: 10. Determine whether the following polynomials span P2. P, =1+x, P, =1-x, P, = 1+x+x, P, = 2-x

A:

Q: What is the coefficient of x12 in (x+2)14?

A: Given expression is,

Q: 1) a) b) Factor the following: 8 1 64 27 f(x) = x - 2x³-13x² + 38x-24 -

A:

Q: Identify the greatest common factor of the terms in each expression. a) 3x² - 9x + 12 c) x²y - xy²…

A: To identify the greatest common factor of the terms in the given expressions. The greatest common…

Q: |1. For each example, determine if it is a polynomial or not. If it is, how many terms does it have?…

A: Since you posted multiple questions with multiple subparts we solve first question with three…