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hello i need help with these advanced functions questions can someone please help me all information and instructions are provided below thank you (all questions

hello i need help with these advanced functions questions can someone please help me all information and instructions are provided below thank you (all questions are in order thank you)

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POLYNOMIALS SECTION Recall: Like Terms-terms that have the exact same variable component Example: x and 3x are like terms Collecting Like Terms-add the coefficients of the like terms, and keep the variable the same Example: x + 3x = 4x Adding Polynomials When adding polynomials, collect like terms. Subtracting Polynomials When subtracting polynomials, multiply all terms in the second polynomial by -1 and then collect like terms. 1. Add the following polynomials [1] + [1] a) (2m + 1) + (6m -5) b) (4x2 + 3x - 2) + (-2x2 -2x + 3) 2. Subtract the following polynomials: [1] + [1] a) (9x2 + 3x) - (x2 - 8x + 1) b) (-12 - 4rs + 2) - (2r2 + 2rs + 3)Multiplying Polynomials When multiplying polynomials, multiply every term in the first bracket by every term in the second bracket Example: Distributive property: a(b + c) = ab + ac FOlLing: (a + b)(c + d) = act ad + bc +bd 3. Expand and collect like terms [2] + [2] a) -(4x + 5)2 b) 3(x - 4) (x+2) - (x+1)(x -3)4. The formula for the area of a trapezoid is A = =(a+ b)h Determine the area of the trapezoid below. [3] 2x + 3 b x - 2 2x + 5 5. A wooden box has the dimensions as shown in the diagram. 2x - 5 x - 2 x+3 Determine an expression, in simplified expanded form, to represent the volume of the wooden box. [3]EXPANDING AND FACTORING SECTION 1: Simplify. State any restrictions on x. [3] * +3x-4 - 5x + 6 atx -12 x x-2 2: Simplify. State any restrictions on x. [3]

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