2. Given the following two polynomials P₁ = x² + 4x − 12 and P₂ = 3x − 6. Carry out the following operations a) P₁ P₂, P₁+ P2, 2P₁, P₁ × P₂, and P₁ P₂ (divide using algebraic long division method) b) Factorization of P₁ and P₂ c) Simplification of P1 using factorization done in b). P2

Q: divide the following polynomials

A: To divide the given polynomial.

Q: 6. Factor: x* - 45x2 + 324 A. (x-6)(x-3)(x2) B. (x-6)(x- 6)(x+3)(x+ 3) C. (x+ 6)(x+3)(-x²) D.…

A:

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

A:

Q: Subtract the polynomials and simplify the result completely: (- 3x° + 7xª – 4x – 6) – (– 12z" – 8a*…

A: To find the answer open the bracket and subtract the coefficients of the same degree then simplify.

Q: Use Long or Synthetic Division to completely factor the following polynomials: (x³ + 4x2 – 31x – 70)…

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Q: What is the remainder when 3x⁴ + 3x³ – 5x² - 5x + 7 is divided by x + 2i?

A:

Q: Divide (2x + 5x³+4x²+x) by (2x + 1).

A:

Q: Use zvnthenic division to ind the quotient and remainder when 2x + 12x- 9 is divided by x+6 by…

A:

Q: Divide using long division 4y3+12y2+7y-3 / 2y+3

A: Given equation function is

Q: Add or subtract the following polynomials. (3a + a) + (5 - 2a) + (5a°) O 2a - a+ 20 O 3a - a + 10 O…

A: Add or subtract given polynomial