determine the product of (x+3)(x-1)(x+2)

Q: What is the product of x -2x +3 and x + 1? x3 - x2 + x + 3 1. 2 - 2x2 + 3x 3. 2- 3x + 2 2-x+ 4 4. 2.

A: Given: f(x) =x2 - 2x+3 and g(x)=x+1 We have to find the product of f(x) and g(x).

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

A:

Q: Find the product : (2x - 1)(x2 - 4x + 3).

A: We expand the product

Q: Use long division to verify that y1 = y2.

A: To use the long division, write the missed terms of the dividend with zero coefficients. Divide the…

Q: Write the polynomial z - 2r3 -1 as product of distinct poly- nomials of degree 1 and 2.

A:

Q: Express as a polynomial. (4x - 3y)(x - 5y)

A: Given: (4x - 3y)(x - 5y)

Q: express 5x2 - 3x + 6 in terms of Legendre's polynomial.

A:

Q: Express the polynomial x5 + 3x3 + x2 + 2x as a product of its irreducible factors in Z5[x].

A: Given: [May be the question is wrong, otherwise the given solution is correct.] The given polynomial…

Q: Find the factor of polynomial 4x^3-8x

A: Given the polynomial  4x^3 - 8x  We need to find all possible factor of this polynomial.

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

A:

Q: 2. Use long division to divide P(x) 3x'+ 7x - 2x- 11 by the binomial (x-2). Express your answer in…

A:

Q: Divide Polynomials using generic rectangle (3x^3-5x^2-34x+24)÷(3x-2)

A: Our objective is to find the division

Q: intergral ((x2 -3)/(x4 +7))

A: Solution Given ((x2 -3)/(x4 +7)) we need to  find the integral

Q: Determine whether the polynomial 8+ 6x – 3x² belongs to Span{2+x – a², 1- 1, 4r²} or not.

A:

Q: How can the Factor Theorem be used to determine if x - 1 is a factor of x3 - 2x2 - 11x + 12?

A: Given: the polynomial function fx=x3-2x2-11x+12.

Q: Use polynomial long division to solve: x'+2x- 2x - 1 divided by (x - 1). 1. x²+3x - 1 2. x²+3x+1 3.…

A: Consider the given polynomial: Perform long division:

Q: Find the product. (x + 1)(x2 - x + 1)

A: Consider the following expression: x+1x2-x+1=x×x2+x×-x+x×1+1×x2+1×-x+1×1 Use the formula xm×xn=xm+n:…

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

A:

Q: Differentiate the function f (x) = (3x2 + x - 2)2 in two ways. (a) Use the general power rule. (b)…

A: To differentiatef(x)=(3x2+x-2)2 in two ways

Q: Determine the coefficient of the product  (x-3)(x-2)(x-1) 

A: Given  (x-3)(x-2)(x-1)

Q: Find the coefficient of x11 in (x2 - 3x) / (1 - x )4

A: Solution:

Q: 2. If the result of a polynomial division is 2x³ – 4x² – 5x + - ,make at least three x + 2…

A: Given the result of a polynomial division f(x)=2x3-4x2-5x+23x+2. Remainder theorem: The remainder of…

Q: Give the degree of the polynomial. 7 9 -vy

A:

Q: Simplify the expression.

A: Given expression is  4-x2136x+1-236-6x+113-2x4-x22 =24-x26x+1-23+x6x+1134-x22 Taking 6x+1-23…

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

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

Q: Perform Crout's method on 2x₁5x₂ + x3 = 12 -X₁ + 3x₂x3 = -8 3x₁4x2 + 2x3 = 16

A:

Q: Find the product. (2x - 1)(x2 - 4x + 3)

A: Given:           (2x - 1)(x2 - 4x + 3)

Q: Show how to determine whether the binomial is a factor of the polynomial. 1. f(x) = 3x4 + 6x3 – x2 -…

A:

Q: Let ƒ(x) = (2x + 3)(3x2). Use the product rule to find ƒ′(x).

A: Consider the formula for product rule. Product rule: fg'=f'⋅g+f⋅g'

Q: (6x* + 10z³ + 5x² + x + 1) ÷ (x + ,) 31

A: Use Synthetic division to find quotient

Q: Write the sum of 5x2 + 2x – 10 and 2x2 + 6 as a - polynomial in standard form.

A:

Q: 2. Divide the polynomial using long division: 2x -x2 -15x + 18 divided by 2x -3

A: To divide the polynomial using long division

Q: What is the product of x2 - 2x + 3 and x + 1? 1. x3 – x² + x + 3 - 2. x3-2x2 + 3x 3. x² - 3x + 2

A: We have to find the product of      X2 – 2x + 3 and x + 1

Q: Suppose three of the zeroes of the quintic polynomial 5x + 21x4 +74x³ + 191x² + 264x + 45 are -1/2,…

A: Given  three zeros

Q: Write x3 + 3x² + 3x + 4 in Zs[x] as a product of irreducible polynomials.

A:

Q: Give a careful statement about the degree of the sum of two polynomials of the same degree.

A: The degree of the sum of two polynomials of same degree equals to the degree of one of the…

Q: Written as a simplified polynomial in standard form, what is the result when (2x + 1)² is subtracted…

A:

Q: Exercises: 1. Using the fact that 3x² +7x – 9 = ((((3)x) + 7)x) – 9), show how to produce this…

A: To find: number of smallest steps used in producing x8 +x4

Q: 1. Use the Product Rule to find for y=(4x'-3x)(2x* +5).

A: Given          y=(4x3-3x5)(2x-6+5)          find dydxx=1Product rule :- Product rule states…

Q: x2-14x+48 x2 - 7x +10 x2 - 9x + 18 x2 - 14x + 24

A: To solve the above given equation.

Q: If the result of a polynomial division is 2x - 4x2- 5x + 23 make at least three definitive x+2…

A: Answer

Q: We can apply Eisenstein criterion for irreducibility of the polynomial 4x10−9x3+24x−18 over Q. true…

A: Using Eisenstein Criterion for irreducibility of f(x) over Q,

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: is the polynomial x^8 - solvable by radicals

A: Let f(x) =x8 Let t=x2 ,This implies that f(t) is a polynomial of degree less than of equal to 4.…

Q: x2 - 4 is a factor of x4 - 5x3 + 2x2 + 20x - 24

A:

Q: Express f(x) = 4x3 + 6x2 + 7x + 2 in term of Legendre Polynomials.

A: The Legendre equation is, 1-x2d2ydx2-2x dydx+nn+1y=0 The polynomial denoted by Pnx is called the…

Q: 2a] aS a product Of irreducible polynomials.

A:

Q: How can all real zeroes be found for 6x^3 - 24x^2 + 6x?

A: This question can be solved using the concept of finding the zeroes.

Q: show that x2-4 is a factor of x4-5x3+2x2+20x-24

A: