Use coordinate vectors to test whether the following sets of polynomials span P, Justify your conclusions. a. 1- 3t + 5t², –3 + 5t – 7t², –4+ 5t – 61², 1 – 1? b. 5t +12, 1 – 81 – 21², –3 + 41 + 21², 2 – 3t

Q: Q5: Given the following polynomials. a) 2x – 3 b) 2x + 3 Find (a) + (b)

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Q: Č. Add/ Subtract the given polynomials 1. 2а - 5b + a+4b 2. 5а- 4b - Зс - (3a – 7b + 2c

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Q: O25x + 40x – 40x – 64 O25x + 13x - 13x – 64 O (5x + 8)(5x² – 8) O (x + 13)(x² – 13) O(5x - 8)2

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Q: Factor. 2y(x+ 2) + 3z(x + 2) O (x + 2)(2y+ 32) O (x+ 2)(2y+ 32) O Gyz(x + 2) O . 2(x + 2)(2y + 3z)

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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: Describe each polynomial. „(a)..x...6x. 36 of degree binomial (b) –15s“t + s³3 monomial v of degree…

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Q: Determine whether the following polynomials span P2. P1 =4 -x+3x2, p2 = 4 + x, p3 = 24 + 2x + 6x2,…

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Q: Write the polynomial in standard form then identify the degree and leading coefficient. -x² +5x -4+x…

A: To rite the polynomial in the standard form, first of all group all the terms with same powers and…

Q: O 15x°y - 15 ) -21a°b?

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

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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: rite the polynomial in standard form and name the polynomial (mono, bi, tri, poly): 1) 8x +3+4x² 2)…

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