Given this polynomial: 3z + 5z + 25z? + 45z - 18 = 0 Part A: Find all real solutions. Provide mathematical justification for your answer.

Q: For n = 4 , Legendre polynomial is 94 (x) = (35x – 30a? + 3)/8 %3D Find all its four roots.

A:

Q: Part of the roof of a factory is devoted to mechanical support and part to green space. The area of…

A:

Q: Name the highest degree of the Polynomial and the name of the polynomial and put in standard form:…

A: Given equations are: 1. 3x62. 4x3+x

Q: 2. Is the expression 4x³ 3.6x² - V2 a polynomial? If so, what is its degree? (pp. A22-A24) -

A: (2) Here the given expression  4x³-3.6x²-√x = 0 Here the given expression is polynomial Degree of a…

Q: Given a polynomial that has zeros of -8, 4i, and -4i and has a value of 765 when x = 1. Write the…

A: Given the roots of the polynomial.

Q: How do I solve this polynomial by factoring? 2y^3-11y^2+12y=0

A: Given polynomial:     2y3 - 11y2 + 12y = 0

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

A: given that x-1 is factor

Q: Solve the following equations of the following polynomial   2x^3-8x^2-24x=0

A:

Q: Amelia is simplifying the polynomial expression in the box. (2x? + 6x²- 7x -4) – (2x² + 9x – 3) If…

A:

Q: Given that (2x - 1) and (r + 3)are factors of the polynomial,2a + 13x2 + 17x 12, what is the third…

A:

Q: -11x^4+3x^2-5 find the opposite of the polynomial

A: we have a polynomial  -11X4 +3X2 -5 To find : opposite of the given polynomial

Q: What are the solutions to x2-14x+23 =0? Select all that apply.

A:

Q: Simplify the expression to a polynomial in standard form: (-2x – 3)(x² – 5x + 5)

A:

Q: Do the polynomials x3−2x2+1 ,4x2−x+3, and 3x−2 generate P3(R)? Justify your answer.

A:

Q: What is the number of terms in the polynomial (2a - 5)(a^2 -1)?

A:

Q: (4х + 1)(4х — 1) (4х — Зу)2 (Зh — 2g)3

A:

Q: To add polynomials, we add terms. So (3x + 2x + 4) + (&x² – x + 1) =

A: The given expression is 3x2+2x+4+8x2-x+1

Q: 15. Explain why the following polynomial equation has no teal solutions: 0 = 5x8 + 10Ox + 7x + 18x2…

A: Given : Polynomial 0 = 5x8 + 16x6 + 7x4 + 18x2 + 132   To find : Why the given polynomial has no…

Q: If one zero of the polynomial (a2 + 9)x2+ 13x + 6a is reciprocal of the other, find the value of a

A:

Q: 3. Given the polynomial expression and one of its zeros, find the remaining zeros and factor…

A:

Q: What is the remainder of the polynomial 6x- 25x + 3x + 12 when it's divided by... a) X-4 b) Зх — 2

A: We will use the long division method.

Q: Simplify the polynomial. 3x² – 2x² + 4x – x² + x - -3x2 + 5x 6х? - 5х 5x

A:

Q: 56. x" – 9x' = 3r3 +2r²+1+11.

A:

Q: The polynomial R(x) is the remainder upon dividing x2007 by x-5x +6. If R(0) can be expressed as…

A: Given: R(x) be a polynomial which is a remainder and  R(0)=ab(ac-bc)

Q: Simplify the polynomial (3x² + 2xy + 5y²) – (-6x² 2xy + Зу?)

A: Given polynomial3x2+2xy+5y2--6x2-2xy+3y2

Q: If the polynomial ax + bx– 17x-9 is divided x +1, the remainder is -22. If it is divided by x-2, the…

A:

Q: Given a polynomial that has zeroes of -9,2i,and -2i and has a value of 880 when x = 2. Write the…

A:

Q: Simplify the expression to a polynomial in standard form: (-4x2 + 3x + 3)(x² – 2x + 2)

A: We need to evaluate  (-4x2+3x+3)(x2-2x+2)

Q: Given : When a polynomial x3 + x2 + 7x − 7 is divided by another polynomial, the quotient is x2 +3x…

A: We know that: dividend=divisor×quotient+remainder. Here given that: Dividend=x3+x2+7x-7…

Q: I have to find the value by substituting the given value of x into the polynomial and simplifying.…

A: To find the value of given polynomial by substituting x= -2.

Q: Solve the following polynomial: 2x4 - x2 -28= 0

A: given polynomial is quadratic equation in x^2.

Q: 6x²+5x-6

A: x = -3/2 , 2/3

Q: Arrange the terms of the polynomial 2a* – ab? + 6b4 – 9a?b³ - (a) in ascending powers of a, (b) in…

A:

Q: Do the polynomials a – 2x2 +1, 4.x² – x+3, and 3x- 2 generate P3(R)? Justify your answer.

A: Given polynomials are x3-2x2+1, 4x2-x+3 and 3x-2. It is required to find whether they generate…

Q: When the polynomial P(x), where P(x) = ax² + 5x² + 2x, is divided by x - 1 the remainder is 4. The…

A: Given: P(x) = ax3 + 5x2 + 2x when divided by x-1 gives remainder 4       To determine: The value of…

Q: You may find the following useful: The polynomial 3x + 12r + 11 = 0 has the solutions r = -2.58 and…

A:

Q: Find m so that x+4 is a factor of 5x^3 + 18x^2 + mx + 16 i need a detailed explanation, please.

A:

Q: Divide the polynomial 3r-7x +2 by r+1. Clearly state the quotient and the remainder.

A: To find the remainder and quotient while dividing the polynomial

Q: 1) Name the polynomial a) 3x? + 9x - 1 b) 2x* - 9x? - 1

A: a) 3x2+9x-1The above polynomial has a degree 2⇒It is quadratic polynomial

Q: Solve the following polynomial equation. - 4x[x(3x - 17)- 28](36x-60x+25) = 0 %3D

A: NOTE: Refresh your page if you can't see any equations. .

Q: What is the degree of the polynomial  - 3 x^3 y^2 + 3x^2 y^4 + 3 x y^2

A: Rewrite the given polynomial in terms of decreasing powers.

Q: your polynomial answer in standard form. 2. 2x2 + 11x +5 x +5

A: In this question , we can solve the given polynomial in standard form . i.e, Firstly , we can factor…

Q: Add. Your answer should be an expanded polynomial in standard form. (-3y? – 5y – 2) + (-7y² + 5y +…

A: Solve given equation

Q: Divide the polynomials -13x2+ 4x³ + 2x - 7 and x2 + 3x – 2 and explain each step. State the answer…

A: Given: To divide the polynomials 4x3-13x2+2x-7÷x2+3x-2 and verify the solution.

Q: TIs the expression 4x3 - 3.6x2 - √2 a polynomial? If so, what is its degree?

A: Given expression, 4x3-3.6x2-2

Q: Do the polynomials x3 – 2x2 +1, 4x² – x+3, and 3x – 2 generate P3(R)? Justify your answer.

A: If x^3, x^2 and x all have the same value =0, then all are linearly independent and it the basis of…