4. The greatest common factor in the expression 4(x + 1)? – x(x + 1)² is and the expression fac- tors as

Q: 13: Factor out, relative to the integers 2 1) 3 y - 8 y - 3 4) 6 x ? + 48 x 72 2) 4x2 - 20x + 25 3)…

A: According to guidelines we should have been able to solve only one question #1 #2

Q: 6.When 2x3+x2-2kx+b is divisible by x – 1, the remainder is –4, and when it is divided   by x + 2,…

A: Find Your Solution Below

Q: Show that xଶ − 4 is a factor of x4− 5x3 + 2x2 + 20x − 24.

A: Let f(x) and g(x) be two functions  then g(x) will be the factor of f(x) if remainder(f(x) / g(x))…

Q: If one of the factors of x2 + 24x + 128 is x + 8, what is the other factor?

A:

Q: 1. When the polynomial 6x -ar' + bx² +3x+4 is divided by x+1 the remainder is 10. When it's divided…

A:

Q: 2. What is the value of k such that (x-4) is a factor of x3 - kx2 -11x+12. A. -12 B. -4 C. 2 D. 6

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is the greatest common factor of the terms in 16x" y - 24x°y - 16x'y? 12 Find the middle term…

A: topic - binomial theorem note : as per bartleby guidelines, we are supposed to answer only first…

Q: 3K4 Given: 22 24 Prove: 1 3

A: Straight angle is 180

Q: Show that (2x+7) is a factor 2x2+5x2-11x-14.Hence factories the given expression completly ,by using…

A:

Q: Show that x2 - 4 is a factor of x* – 5x3 + 2x2 + 20x – 24.

A:

Q: the greatest common factor of 12x^y^3 and 24xy^2 is

A:

Q: List all the possible factors of: S(x) = 2x* - 3x' +2x -7x-8

A:

Q: 9) Determine if x-3 is a factor of 2x-2x2 + 4x- 3. Explain how you arrived at your answer.

A:

Q: By factorising x3+1, show that (for suitable values of x) 1/(x2-x+1) = ∑∞n=0 (-1)n x3n+ ∑∞n=0 (-1)n…

A: The given question is solved below.

Q: When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and the…

A: See the details solution below

Q: What is the value of n to show that (x - 7) is a factor of 2x3 - 13x2 - 10x + n?

A: Given- 2x3-13x2-10x+n To find-  The value of n as x-7 is a factor of the above expression. Concept…

Q: To factor the trinomial x2  7x  10, we look for two integerswhose product is and whose sum is…

A: Given that the trinomial x2+7x+10, To factor the trinomial and find the integers.

Q: Why is x-3 a factor of m(x) x^3-x^2-5x-3

A: It is  polynomial equation.

Q: 3-Find k if (x-5) is a factor of 4x³-5x+kx-2.

A:

Q: Show that p-1 is a factor of p10-1 and also p11-1

A:

Q: 3. What is the number of coefficients of a polynomial of degree n in two variables? In three…

A: Given: A polynomial of degree n.

Q: Which of the following is the factored form of x^3 + 3x^2 – 10x – 24? * - O (x - 4)(x – 3)(x – 2) O…

A: Let f(x) = x3 + 3x2 - 10x - 24

Q: What is the value of k such that (x + 2) is a factor of (3x³ + kx² + 5x + 6)? 7 9. 8 10

A:

Q: Find k so that 4x + 3 is a factor of 20x3 + 23x2 - 10x + k.

A: If 4x+3 is a factor, then on plugging -34 for x in the given expression, the result is 0.

Q: 8. The polynomial 3x³ + mx² - nx – 10 has a factor of x - 1. When divided by x + 2, the remainder is…

A: P(x) = 3x3 + mx2 - nx - 10                (i) It is given that (x - 1) is a factor of the above…

Q: 9. Factor 2x"-7x-41x-53x-21 fully.

A: Let's find.

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

A: Given, x4-1

Q: 11. Colin says that the greatest common factor of – 8x² + 4x – 6 is 2, but Colleen says that it is –…

A: Given:        Function is  -8x2+4x-6                       =-28x22-4x2+62…

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: Your goal is to determine all the value(s) of b in order for 3x2+bx-8 to be factorable into two…

A:

Q: Which statement about 6x + 7x – 10 is true? O One of the factors is (x + 2). O One of the factors is…

A: To factorise ax2+bx+cwe have to break 'b' in such a waythat sum is 'b' & the product is ac.

Q: 9. Use the Factor Theorem to explain if x + 3 is a factor of x³ + 2x² – 3x + 5.

A: To use the factor theorem to explain if x+3 is a factor of x^3+2x^2-3x+5

Q: 11. Express the following as a trinomial in simplest form in terms of the variable z. (z + n)" n=0…

A:

Q: what is the leading coefficient and end behaviour of x(3x - 4)(-2x + 1)(x - 5)

A:

Q: 1. Is (x – 3) a factor of the polynomial p(x) = x' – 11x + 6? Why or why not? 2. What is the…

A:

Q: 5. Factor completely: 5x y' -180y

A: factor .

Q: This problem requires that you show all work. Factor the GCF out of each term: 24z – 4x² + 16x Hint:…

A:

Q: Find all integers b so that x2 + bx -18 can be factored

A:

Q: What is the result when 16x + 4x° - 14x2 - 23x - 3 is divided by 4x2 1? If there is a remainder,…

A:

Q: 29. Determine BER with the property that x+5 is a factor of the polynomial -3x- 10x + 20x2- 22x + B.

A:

Q: Is (z-4) a factor of 6z -272+ 16z-8 O No, it is a not factor. OYes, it is a factor.

A: According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number,…

Q: You should enter the coefficients of the powers of x of the sum in the boxes. 7(-2x? – 9x – 7) – 7…

A:

Q: 9) Ify+ is one factor of y2- what is the 9' other factor?

A:

Q: 10) If x = -2 is a zero, what are the other zeros for 3x3 + 10x2 + 4x - 8 = 0? %3D

A:

Q: 2. If the result of a polynomial division is 2x3 – 4x? – 5x + 23 ,make at least three x+ 2…

A: The given result of a polynomial division is 2x3-4x2-5x+23x+2. Observe the following. Quotient,…

Q: 15) Find the remainder of the polynomial 5x4 – 3x3 + 9x – 1 when divided by x + 3

A:

Q: 9. What is the largest integer value of k for which the equation x2 - 6x + k = 0 gives a real number…

A:

Q: 22. Factor the polynomial. 216a – 64 (62 – 4) (36z2 – 24m – 16) (62 – 4) (36? + 24n + 16) (6x + 4)…

A: Given the polynomial  216 x3 - 64  We need to factorised it. As we know the formula  a3 - b3 = (a -…