Derive these Legendre polynomials: P3(x) = x³ - (3/5)x P4(x) = x² - (6/7)x² + (3/35) P5(x) = x5 - (10/9)x³ + (5/21)x

Q: Consider the following polynomial: h(x)=2(x-1)2(x+1)3(x-2)(x+2) Find the x-intercepts, their…

A: Given equation is To find x intercept , substitute h(x) with 0 and apply zero factor property

Q: Find the product of (2r-3r+ 1) and (x-5).

A: 2x2-3x+1 & x-5

Q: Given f(x)=(x-3)(x+2)(x+3), give a strategy for writing the expanded form of the polynomial

A:

Q: Evaluate the following polynomials? 1.P(2)=x³–3x²–x+2 2.P(3)=2x³+2x²–4x+1 3.P(-2)=x³–8x²–2x+5

A: As per the policy we are solving first three subparts.   Please repost and specify which subparts…

Q: Given the following polynomial, p(x)=3x³ (3x + Perform the Leading Coefficient Test by answering the…

A: P(x)=3x^3(3x+1)^2(2-x)

Q: Convert the following polynomials to factorial polynomials 1. x³ + 8x² - 4x - 1 2. 2x45x³ + 2x² - 4x…

A: The given polynomials are: 1. x3+8x2-4x-1 2. 2x4-5x3+2x2-4x+9 3. x4+2x3+x2-6x-4 We have to convert…

Q: What does it mean to have a remainder of 0? This pertains to Division with Polynomials.

A:

Q: Given the points Po = (0.0, 1.0), P1 = (2.0,2.0), and P2 = (3.0, – 1.0). Write down the coefficients…

A: Given points are  P0=0.0, 1.0=0, 1; P1=2.0, 2.0=2, 2; P2=3.0, -1.0=3, -1 We have to find the…

Q: L Find for the quotient of the following polynomials using long division. 1. (x - 6x + 8) + (x-2)

A: Perform a long division method

Q: Select all polynomials that have (z- 2) as a factor. Choose all answers that apply: O A(x) = x3 + x²…

A:

Q: If you multiply the A/P, P/G, and F/A factors together, you will obtain the value for the F/G…

A:

Q: Multiply the polynomials (x-1)(x* +x³ + down an identity for (x - 1)(x" +x"-1 +..+x² +x + 1) for n a…

A: Multiply the given polynomials using table (x-1)(x4+x3+x2+x+1)   x4 x3 x2 x 1 x x5 x4 x3 x2 x…

Q: If a polynomial f(x) has a remainder of -9 when divided by a 3, what is f(3)?

A:

Q: Given the following polynomial, p(x) = -5x³(x-9)²(9-x²)(5x-2)³(x² + 1) Fully factor p(x) and create…

A: The given polynomial function

Q: Find the factors of the following polynomials. 9. x? – 4 10. x2 + 4x-5 11. 3x + 6x² + 5x + 10

A: It is reuquired to find the factors of the given polynomials.

Q: Determine the standard form of the following polynomial: p(x) = (2x²+1)(x²-3)

A:

Q: 1. Identify the degree, end behavior and roots (w (a) f(x) = r³(x + 1)²(x² + 9)(x² – 4) - (b) /(x) =…

A: Degree of polynomial is the highest power of 'x' on polynomial equation Roots are found when f(x) =…

Q: Fill out the information for the following polynomial: a) f(x)= -1/4x3-13x2+3x-9 degree- Type of…

A:

Q: (4) Find a polynomial that has 1+i and 1- i as zeros.

A: We have to find polynomial

Q: Questlon Multiply. (5+x)(5 - x) = %3D

A:

Q: 1. Add the polynomials (8x³+4x-16)+(12x³ −3x²+14) =

A: (8x3-3x2+14)