Math Problem Statement

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Add: (3x^2 – 4x + 8) + (-x^2 – 2x – 8) * 2x^2 – 6x 2x^2 – 2x 2x^2 – 6x + 1 2x^2 + 6x Use synthetic division. (x^2+2x − 63)÷(x+9)

x - 7 x + 7 x^2 - 7 x^2 + 3x - 54 (3x – 3)(x + 4) is an example of * Multiplication of polynomial l Addition of polynomial Division of polynomial Subtraction of polynomial Whenever you add two or more polynomials your answer should be * always another polynomial Not necessarily a polynomial all of the time always a constant a rational expression Simplify (x^3)^6 * x^9 x^18 x^6 x^3 Which of the following is the remainder when 2x^3 + 2x + 7x^2 + 9 is divided by 2x + 3 * 10 15 20 25 Which expression gives the sum of 5y^5 +y^4 + 5y^3 + 5y + 7 * (3y^5 – 2y + y^4 + 2y^3 + 5) and (2y^5 – 3y^3 + 7y + 2) (3y^5 – 2y – y^4 + 2y^3 + 5) and (2y^5 + 3y^3 + 7y + 2) (3y^5 – 2y + y^4 + 2y^3 + 5) and (2y^5 + 3y^3 + 7y + 2) (3y^5 – 2y + y^4 + 2y^3 + 5) and (2y^5 – 3y^3 – 7y + 2) Simplify: (5p^9q^3)(2pq^7) * 7p^10q^10 10p^9q^21 10p^8q^-4 10p^10q^10 Which expression is equivalent to 3(2x + 3) + 2(x + 1) * 7x + 8 8x + 9 8x + 4 8x + 11 Evaluate (-3)^-4 * -81 1/81 -1/81 81 Negative Exponent Law states: you must change the exponent to a positive by doing what? * just change it to positive get its additive inverse move to the bottom of fraction bar find its negative reciprocal Divide. Write the quotient as a power. 16^10/17^3

16^3/17^10 (16/17)^3 16/17 16^10/17^3 Subtract: (3x – 7x^2 + 2) – (4x^2 – 4 + 6x) * -11x^2 + 3x – 6 -11x^2 – 9x – 3 -11x^2 – 3x + 6 11x^2 + 3x - 7 5³⋅5⁴ * 5⁷ 56 5° 34` Other: If you removed the parentheses in the expression (3x^3 – 5x + 9) – (-6x^3 + 8x – 7), what should be the resulting expression. * 3x^3 – 5x + 9 – 6x^3 + 8x + 7 3x^3 + 5x + 9 + 6x^3 – 8x + 7 3x^3 – 5x - 9 – 6x^3 + 8x + 7 3x^3 – 5x + 9 + 6x^3 – 8x + 7 Simplify each expression. (6b^3 + 6 - b^4) - (8b^3 - 6b^4 + 2)

4b^4 - 2b^3 +7 b^4 - 2b^3 + 7 5b^4 - 2b^3 + 4 5b^4 - 2b^3 + 7 Divide. Write the quotient as a power. 16^10/17^3 * 109 1613 167 16^10/17^3 Perform the operation (8y - 5) + (4y - 1)
* 32y^2 + 5 12y^2 - 6 12y - 6 32y + 5 What is the value of (2^2)^4? * 2 4 64 256 Find the quotient: (x^3 +3x^2- 4x - 12)/(x^2 + x - 6) * x + 3 x + 2 x + 4 x + 1

Solution

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Math Problem Analysis

Mathematical Concepts

Polynomial addition
Synthetic division
Polynomial multiplication
Simplifying exponents
Division of polynomials
Negative exponents

Formulas

(a^m)(a^n) = a^(m+n)
Power of a power: (a^m)^n = a^(mn)
Polynomial division via synthetic division

Theorems

Exponent laws
Polynomial addition and multiplication

Suitable Grade Level

Grades 9-10