Polynomial Word Problems Worksheet
Practice solving real-world problems using polynomial equations and functions for Grade 10 math.
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Polynomial Word Problems
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Read each word problem carefully. Formulate a polynomial equation to represent the situation, then solve the equation to answer the question. Show all your work.
1. A rectangular box has a length that is 5 cm more than its width, and its height is 2 cm less than its width. If the volume of the box is 240 cm³, find the dimensions of the box.
2. A rectangular garden has an area of 192 square meters. The length of the garden is 4 meters more than its width. If the width is represented by 'x', the length can be expressed as . The polynomial equation representing the area is . The width of the garden is meters, and the length is meters.
3. The height 'h' (in feet) of a projectile launched vertically upward from the ground with an initial velocity of 96 ft/s is given by the equation h(t) = -16t² + 96t, where 't' is the time in seconds. At what time(s) will the projectile be at a height of 80 feet?
1 second and 5 seconds
2 seconds and 3 seconds
Just 3 seconds
Just 5 seconds
4. A company's profit P (in thousands of dollars) for selling 'x' units of a product can be modeled by the polynomial function P(x) = -x³ + 10x² - 12x. If the company sells 2 units, their profit is $16,000.
True
False
5. The product of three consecutive integers is 210. Find the three integers. (Hint: Let the first integer be x).