Perform the indicated operations and simplify your answer: (a) (3x4 + 2x3 − 4x2 + x + 4) + (4x3 + x2 + 4x + 3) in Z5[x]. (b) (x + 1)3 in Z3[x]. (c) (x − 1)5 in Z5[x]. (d) (x2 − 3x + 2)(2x3 − 4x + 1) in Z7[x].

Q: [ 2x(9-8)] x 2 divided by 4+3

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Q: -9x-17 x+1 1. Perform the indicated operations and simplify x2-4x-21 x-7

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Q: If x? + 6x – 59 = (x + A)² – B² , then the value of A is

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Q: (√−81 + 3)(√−25 − 1)

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Q: Perform the following operations: 2. (2x4 - 5a3 + 3x2 – 5)/(x+ 2) 3. (4x - 2r3+ x² - 5x + 8)/(x² –…

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Q: Simplify the polynomial (3x² + 2xy + 5y²) - (-3x² - 2xy + 3y²) O-9x² + xy + 8y² 2x² - 4xy-8y² 3x² +…

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Q: (7x² – 121a + 516 (x – 4)(x – 8)?

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Q: x+1 In(*(² ) 2x3 –1

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Q: Multiply the following. (4x- 3) (х -х+9) (4x - 3) (x³ - x + 9) (Simplify your answer.)

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Q: (x+11) (x² - 11x

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Q: (2+1) x (9-?)=12

A: Just try to simplify and that's easy.

Q: (4r2 – 6x + 3) + (2x² + x – 8)

A: Let us consider an expression, (ax²+bx+c)+(-dx²-ex+f) = (a-d)x²+(b-e)x+(c+f)  This is the required…

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Q: (6x+7)(6x 7) |3|

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Q: Find the x3 term in (x-1) (2x-2)4   4=n, 5 terms

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Q: Find the 4 - x' -x²(4 – x²) = 2 i5 (4 - x*) + C 3 x²(4 – x²) 5 3 15

A: Please see the solutions below.

Q: Solve the following initial value problem for y(t) using the method of Laplace transforms to find…

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Q: Simplify: (2-5)(2+5) 2(x+5) (z-5)(2-2) 4(x-2)

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Q: Find the term of (x² +x²)' that has x88 in it.

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Q: Add or subtract the polynomials (7x3-x2y+4y3) + (2x3+5x2y+3xy2) - (5x2y+6xy2+y3) ?

A: Distribute the signs.

Q: Which of the following expressions are polynomials? (a) 2x- x + V3 (b) x? -- 3Vx 1 (c) x + 4x + 7…

A: Which of the following expressions are polynomials? a) 2x3-12x+3The powers of the variables are 3, 1…

Q: Find the LCD: S 3x x² + 8x + 15 x² + 3x-10 O (x+3)(x-1) O (x-3)(x+1) O (x-3)(x-2)(x+5) O…

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Q: 6​[2−6​(−8x−5​)]=288x+192

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Q: Specify the quotient and remainder (x3 – 3x2 +5x -6) ÷ (x – 2)

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Q: Find f'(x) and simplify. f(x)=7׳ (x² -9)

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Q: (102x+1)(10x-3)=1010

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Q: what is the power of the polynomial (2x-1)¹⁰×(3x+3)⁹?

A: Let, f(x) and g(x) are linear functions of x .       The polynomial {f(x)}m.{g(x)}n   The power of…

Q: -2(x+5)-1/2(-10x-4)

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Q: Simplify (x - 4)2 72 - 8 1 Bx +16 C) x² – 16 D x - 8x + 16

A: We can simplify certain type of  an algebraic expressions by using the formulas,