Find the degree of the polynomial using the method of finite differences. Then find the equation using matrices. a.) x y -5 0 5 10 15 20 -101 -6 -11 34 279 874 b.) X 1 2 3 4 5 y 10 18 26 34 42

Q: 1. Factor the polynomial completely using the given factor 4 2 2 and division: x - 3x 3 - 36x +68x +…

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Q: Let p, = 2t – 1 and p2 = t3 +2. Write three polynomials that are in span{p1, P2}-

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Q: Find all the zeros of the function and write the polynomial as a product of linear factors. х4 +…

A: Lets find the zeroes:           x4+13x2+36=0…

Q: а. 4x2 —Зх b. 24х2 — 2х + 15 с. 12х2 -26х — 16

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Q: Find the polynomial the passes through the following points (0,0), (2, −2), (4,0)

A: The general form of a polynomial of degree n is given by fx=a0xn+a1xn-1+···+an, where a0,a1,···,an…

Q: '-7r + 19r- 13 and write it as the product of three 2. (3.4) Factor the polynomial P(r)-r linear…

A: Substitute x=1 in the given equation Then P(x)=0 So (x-1) is a factor of P(x)

Q: What set of x and y creates the Pythagorean triple 12,35,and 37? Use the polynomial identity…

A: We need to use the polynomial identity: (x2+y2)2 = (x2-y2)2 + (2xy)2 to find values of x and y which…

Q: 4. (4x2 - 12x + 9) (x2-6x + 9) (9x2- 12x + 4) = 0 5. (4x2- 8x + 3) (6x2 - 13x-5) (6x2 + 5x - 4) = 0…

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Q: What should be the first step in factoring this polynomial using grouping? 12 x 2 y − 6 x y + 16 x…

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Q: 2. Write the polynomial in standard form. * 5w – 2w + 2w - 8 2w + 2w + 5w-8 -2w + 2w -8+5w 5w - 2w +…

A: Steps :: 1) Write the term with the highest exponent first2) Write the terms with lower exponents in…

Q: Simplify the polynomial using multiplication. xy(3x2+2x−3y)     3x2+2xy−3y 3x3+2x2−3y2 2x3y2…

A: We will distribute xy : xy(3x2+2x−3y)=xy(3x2)+xy(2x)-xy(3y)=3x3y+2x2y-3xy2