Worksheet #12: Solutions of Polynomials | Answer Key - Edubirdie

University:
Highline College
Course:
MATHP 141 | Precalculus I Plus Extra Support
Academic year:

2022
Views:

330

Pages:

1
Author:

Andreas Barnett

Workshop #12 1. Solve the following (a) x2 + 3x − 28 = 0 (d) w2 + 7w + 10 = 0 (b) x2 − 3x + 2 = 0 (e) 2x3 + 10x2 + 12x = 0 (c) 2x2 − 4x − 6 = 0 (f) x4 − 3x2 = 4 2. (a) Determine where the polynomials are equal to 0. Assume no zeros occur outside of the shown area. 2 y 1 −4 −3 −2 −1 −1 y x 1 2 3 4 4 3 2 −2 1 −3 −4 −4 −3 −2 −1 −1 −5 −2 −6 −3 x 1 2 3 4 −7 2 y 1 y 4 3 −4 −3 −2 −1 −1 2 x −2 1 2 3 4 −2 1 −4 −3 −2 −1 −1 x 1 2 3 4 −3 −4 −5 −6 −7 (b) Without using a graphing utility match the polynomials to their graphs above. f (x) = (x − 1)(x − 2) g(x) = (2x + 1)(x − 2) h(x) = x(x − 1)(x − 4) j(x) = x(1 − x)(x + 4) 3. Suppose that the perimeter of a square is increased by 4 inches, after doing this the resulting area is 16 square inches. What were the dimensions of the original square? 4. A rectangle has width 3 inches longer than it’s length. Ignoring units, the area of the rectangle is equal to it’s perimeter. What are the rectangles dimensions?

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