What is a triangular factorization?

Q: Find the roots of 4x5 – 16x4 + 17x3 – 19x2 + 13x – 3 = 0.

A:

Q: Find the last term to make the trinomial into a perfect square: x2 + 16x + When this is factored, it…

A: Make Perfect square if quadratic expression

Q: 38 a Complete the square for x² – 8x + 25. b Hence find 2x +7 dr. x² - 8x + 25

A: To complete the given square and to evaluate the given integral.

Q: Suppose that your friend factors 36x2y + 48xy2 as follows:36x2y + 48xy2 = (4xy)(9x + 12y)…

A: Given expression - 36x2y+48xy2The way it has been factorised in the question is correct, but there…

Q: The product rule for square roots states that if a and b are nonnegative, then Vab =

A: Product rule for simplifying square root: If a and b are non negative then  ab=ab

Q: Find a QR-factorisation of 1 1 -1 1 | 1 1 1 1 0 -

A: The given question is solved below.

Q: What does it mean to factor completely?

A: Factor the expression completely means to continuously factor terms until they are in simple terms,…

Q: What is a perfect square trinomial and how is it factored?

A: What is perfect square trinomial and how is it factored.

Q: State the Factor Theorem.

A:

Q: What is factoring of polyminioal is called ?

A:

Q: use the difference-of-squares pattern to factor each of the following. 49a2 - 36b2

A: Given expression is 49a2-36b2

Q: I can’t remember how to factor polynomials.

A: Factoring polynomial depends on whether its a binomial , trinomial, or more than 3 terms. If its…

Q: 15 What are the factors of this polynomial?

A:

Q: Find the smallest positive (real) root of x3- 3.23x2 - 5.54x + 9.84 = 0 by the method of bisection.…

A: To find he smallest positive real root of the equation x3-3.23x2-5.54x+9.84=0. .

Q: State the Complete Factorization Theorem.

A:

Q: What is the factored form of 1000z + 27 ?

A: I have appended the formula used in the solution part

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: What is the completely factored form of xy – xn

A: Given : xy3 - x3y

Q: Factor 8m-6m². .….......

A: Given: 8m-6m2

Q: How can the division algorithm be used to check the result of polynomial division?

A: Explanation:-

Q: Find the polynomial that interpolates the points (-2,4), (-1,0), (2,-1), (2.5,0), (3,1), (4, 2). Use…

A:

Q: What is the bigger perfect square of the square of 27

A: Given, We have to find the  bigger perfect square of the square of 27.

Q: Factor the algebraic expressi 7x +63 -

A:

Q: Evaluate the square root of 3 + j4 by two methods.

A: We need to evaluate the square root of 3 + j4 by two methods. The solution is given below.

Q: How to simplify radicals that are not perfect squares?

A: A radical expression is one which contains a root (square root, cube root, etc.).

Q: Simplify. Multiply and remove all perfect squares from inside the square roots. Assume b is…

A: Given: ------------------------------------------------------------------------ To determine:…

Q: Show all work to factor x4 - 5x2 + 4 completely.

A:

Q: Find the cube root. -512 Select the correct choice below and, if necessary, fil in the answer box to…

A: Given expression: -512x93 Apply radical rule -an=-an -512x93=-512x93

Q: can you explain polynomial divisons and how you make definitive statements about the dividend and…

A: Consider the given: Divisor: it is the number or polynomial, that divide the other polynomial.…

Q: Rewrite this expression as the product of its greatest common factor and a polynomia 20y- 10ry +…

A:

Q: What is the value of k so that x -xy + is a perfect square trinomial? k

A: Given that, the given polynomial is x2-xy2+y4k, Compare the polynomial x2-xy2+y4k with the general…

Q: Select all properties that apply to a square.

A:

Q: 1. that has been shrunk vertically by a factor of The shape of y = Preview

A: Given,

Q: what are fourth-degree trinomials?

A: Define fourth degree trinomial

Q: Factor by grouping: 30as – 24bs + 25at2 – 20bt? -

A: Given: 30as-24bs+25at2-20bt2To obtain the factor by grouping it

Q: Which integers are quadratic residues of 11?

A:

Q: Find the square root of ( -5 – j25 ) using algebraically method.

A: This question is related to complex numbers, we will use algebraical methods to solve it.

Q: 9. What is the possible equation of the following polynomial in factored form?

A:

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: Am I factoring something on this problem wrong? I checked by cross multiplying, and the numbers seem…

A: You have done it correct but instead of writing -2w it will be -20w. When anything is given of the…

Q: When we factor the sum or difference of cubes __, is the factor __ ever factorable over the…

A:

Q: The product rule for square roots states that if a and b are nonnegative, then √ab =______.

A:

Q: What is the dot product A•B if A=2x-3y and B=15x+10y?

A: We have to find dot product of A and B here

Q: State the discriminant of 6x2-2x+K

A: Quadratic equaton is  6x2-2x+K=0

Q: What are the oots of the cquaion? 15x2-2x+\=0

A: we have to find the roots of the equation: 15x2-2x+1=0

Q: Can someone explain rank factorization and how to carry it out with an example?

A: In mathematics, given an m × n matrix A of rank r, a rank decomposition or rank factorization of A…

Q: Use Gramer Rale to Find ,2 -2x + 33-Z-1 X+23-2-4 -2x -y+7=-3

A:

Q: +7it1o

A: The given expression is  i2  + 7i + 10

Q: The Special Factoring Formula for a "perfect square" is A + 2AB + B = . So x² + 10x + 25 factors as

A: Given: A2+2AB+B2=?x2+10x+25=?