Question: NAME DATE SCORE Using Polynomial Equations to Solve Problems (For use with Lessons 4-8 and 7-2) By working through the steps in the problems below,

NAME DATE SCORE Using Polynomial Equations to Solve Problems (For use with Lessons 4-8 and 7-2) By working through the steps in the problems below, you will gain skill in solving problems by using polynomial equations. Problem 1 The sum of the squares of two consecutive multiples of 4 is 976. Find the multiples. a. What are the first three positive multiples of 4? b. If n is a multiple of 4. what is the next greater multiple of 4?_ c. Express the first sentence of the problem as an equation. d. Express the equation in simplified form. e. Solve the equation. f. Answer the question. (Hint: There are two sets of answers.) and Problem 2 The length of a photograph is 6 inches less than twice the width. The photograph is mounted in a frame that is 3 inches wide on all sides. If the area of the framed picture is 270 square inches, find t dimensions of the unframed photograph. a. Let w = the width of the unframed photo. Write an expression for the length of the unframed photo. b. Draw a sketch of the facts and label the dimensions in terms of w. c. Write the length and the width of the framed photo in terms of w. length: width: d. Use the facts of the problem to write an equation for the problem.NAME DATE SCORE Using Polynomial Equations to Solve Problems (continued) e. Write your equation in simplified form. f. Solve to find the value(s) of w. g. Write your answer to the problem. h. Find the numerical areas of the unframed photo and the framed photo. and Do your answers agree with the facts of the

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