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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)
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]Step by Step Solution
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