Assignment #5: Multiplying & Dividing Polynomials /27 = positive 1 = negative 1 = positive xy-tile = positive x = negative x = positive y-tile = negative x2 = positive x2 1. Sergio wanted to determine 5x(7x 2). His solution is shown below. (2 marks) – (5x)(7x) + (5x)(–2) Step 1 = (5)(7)(x)(x) + (5)(–2)(x)(–2) Step 2 = 35x2 10(–2x) Step 3 – = x 35x2 + 20x Step 4 Sergio discovered an error in his solution. In which step did Sergio make the error? Show the correct solution. 2. Use an area model to expand each expression. (2 marks) a) (3x)(2x 1) b) (4d + 3)(3d) – 3. Determine the polynomial multiplication statement shown by the diagrams and SOLVE. (4 marks) a) b) 4.Complete the following statements: (3 marks) a) The product (–3.7x)(5.1y), in simplified form, is ____. b) The quotient 10x2 ÷ 4x, in simplified decimal form, is ____. c) Multiplying the polynomial x 6 by 5x produces the expression ____. – 5. Use the distributive property to expand each expression. (2
Assignment #5: Multiplying & Dividing Polynomials /27 = positive 1 = negative 1 = positive xy-tile = positive x = negative x = positive x2 = positive y-tile = negative x2 1. Sergio wanted to determine 5x(7x – 2). His solution is shown below. (2 marks) (5x)(7x) + (5x)(–2) Step 1 = (5)(7)(x)(x) + (5)(–2)(x)(–2) Step 2 = 35x2 – 10(–2x) Step 3 = x 35x2 + 20x Step 4 Sergio discovered an error in his solution. In which step did Sergio make the error? Show the correct solution. 2. Use an area model to expand each expression. (2 marks) a) (3x)(2x – 1) b) (4d + 3)(3d) 3. Determine the polynomial multiplication statement shown by the diagrams and SOLVE. (4 marks) a) b) 4.Complete the following statements: (3 marks) a) The product (–3.7x)(5.1y), in simplified form, is ____. b) The quotient 10x2 ÷ 4x, in simplified decimal form, is ____. c) Multiplying the polynomial x – 6 by 5x produces the expression ____. 5. Use the distributive property to expand each expression. (2
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