2. Determine whether the polynomial 1+ x + ? is a linear combination of P, = 2+x+x², p, = 1-x, p, = 1+ 2x. %3D IA

Q: verify that A + B = B + A

A:

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

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

Q: Find a polynomial that interpolates the following data points: (-1, −10), (1, 6), (2, 5).

A:

Q: Express as a polynomial. (r 2 + 8r - 2-)(r 2 + 3r - 1)

A: Given expression:                         (r2+8r-2)(r2+3r-1)

Q: Find the polynomials connecting the points (0,1), (1,3), and (2,13) ​​by quadratic interpolation.

A:

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

A:

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

A:

Q: E 1. Find the third-degree polynomial P such that two of the zeros are 4 and 1 + i and such that…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: 9. Find values of the 800k of polynomial 1- 42+9x +b b. -9 and if 3-42²+9x +6. a and ane

A: Given the polynomial  x3−4x2+ax+b

Q: Which polynomial function has zeros -2, ½, 2, 1? O A. y = 2x^4 - 3x^3 – 7x*2 +12x - 4 O B. y = 2x^3…

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Q: Specify a linear combination in terms of coefficients?

A:

Q: verify that 5A = 3A + 2A

A: Given that A=341127. Compute 3A+2A as follows.

Q: Choose all factors of 21xy+18x+6y^2 A. 2y+1 B.y+2 c.y+6 D.y+1 E.2y+3 F.x g. 3x

A:

Q: Find a polynomial that fits the points (−2, 3), (−1, 5), (0, 1), (1, 4), and (2, 10).

A: To find each term of the polynomial, use the Lagrange interpolation formula. Here, x1=-2, y1=3,…

Q: Find the value of c such that the exp k^(2)+13k+c

A: