Multiplying Polynomials Word Problems - Examples & Practice
Read this topicExplanations 3
- Polynomial Word Problems Word problems involving binomials are often related to basic geometry (like the concept of area, for example). An important thing to remember is that wo…
By Hannah Bonville, Naomi Burgess, Alex Federspiel, Jonathan Heller, Anusha Rahman
- Polynomial Word Problems As of right now, you should know how to add, subtract, and multiply polynomials. So when we look at word problems they'll only be asking you to add, sub…
By Alex Federspiel, Jonathan Heller, Anusha Rahman
- (Video) Polynomials 06 Multiply Polynomials Word Problem by Mister Zuidema This video by Mister Zuidema walks through a word problem with polynomials. Summary\large{\text{Summar…
By Amy Feraco, Victor Wang, Jonathan Heller, Anusha Rahman
Problems 29
- A square has a side-length represented by the expression x+2x+2x+2. What is the area of the square in terms of xxx?
- A rectangular window has a length of x−1x-1x−1 and a height of x+2x+2x+2. What is the area of the window?
- A cylinder has the following dimensions: radius r=x+4r = x+4r=x+4 and height h=x+10h = x+10h=x+10. Find its surface area in terms of xxx. (Hint: The surface area of a cylinder i…
- George purchases land from his neighbors. His original plot of land had a length of 180180180 feet and a width of 280280280 feet. After buying property from his neighbors, the l…
- Danny has a circular pool, but she thinks it is too small. She recently earned some money and decided to expand the size of the pool. Originally the pool had a circumference of …
- A triangle has a base of 2x+32x+32x+3 and a height of x−5x-5x−5. What's the area of the triangle?
- A house has two rooms of the same area, AAA square feet. One room is a square and the other is rectangle that's 3 feet narrower and 7 feet longer than the square one. Find AAA, …
- A man has (n+8)(n+8)(n+8) piles of (n−2)(n-2)(n−2) coins each. If he has 875875875 coins, what's nnn?
- Steve has a rectangular card with area 44 ft244\text{ ft}^244 ft2 and dimensions (length and width) n+4n+4n+4 feet by n−3n-3n−3 feet. He wants to design a new card that has 40%4…
- A farmer built a circular pen for her pigs when she first started her farm. It was 300 ft2300\text{ ft}^2300 ft2 but it is becoming crowded. She wants to increase the radius by …
- If a cylinder has a base with an area of 3x−23x - 23x−2, and a height of x+4x + 4x+4, what is its volume?
- If Mickey has 3x−13x - 13x−1 jars of nutella, but he wants 5x+45x + 45x+4 times as many jars, how many jars of nutella does he want in total?
- Steve drives his motorcycle at 2x2−x2x^2 - x2x2−x miles per hour. His mom will ground him if he drives faster than x+2x + 2x+2 times the rate he already drives. How fast can Ste…
- Madison is drawing a table categorizing sea creatures for a science project. If her table has 2x+32x + 32x+3 rows and 3−x3 - x3−x columns, how many creatures can she include in …
- If Annie has 3t+43t + 43t+4 boxes of comic books at any time ttt, and each box contains 7t−37t - 37t−3 books, how many books does Annie have in total at any time ttt?
- Fran needs 2x+32x + 32x+3 cups of coffee a day to fully function. How many cups of coffee does she need to buy in order to fully function for the next 3x−13x - 13x−1 days?
- Sarah can make crepes at a rate of 8x−38x - 38x−3 crepes per hour. If she cooks for 4x2+2x−14x^2 + 2x - 14x2+2x−1 hours, how many crepes can she make?
- A chocolate bar has a length of 444 and a width of 222. If the length is extended by a value xxx, and the width is extended by 2x2x2x, how much more area will the chocolate bar …
- Can you write a function (in its most expanded form) showing the area of the new design?
- Can you write a function showing the area of the new design?
- A parking lot has length, lll, and width, www. If the length of the parking lot can be represented as l=2w+4l = 2w+4l=2w+4, and the width of the parking lot can be represented a…
- If the area of a circle is determined by the function A=πr2A = \pi r^{2}A=πr2, and rrr is a function of xxx defined by, r=3x+1r = 3x+1r=3x+1, then what is the area of the circle…
- Find the area of a triangle in terms of xxx if base=6x−2\text{base} = 6x-2base=6x−2 and height=4x+5\text{height}= 4x+5height=4x+5.
- If the circumference of a circle is represented as c=6πx+4πc = 6\pi x+4\pic=6πx+4π, what is the area, AAA, of the circle in terms of xxx?
- If a triangle has height, h=2x+7h = 2x+7h=2x+7, and base, b=x−3b = x-3b=x−3, what is the area of the triangle in terms of xxx?
- Find the area of a rectangle given that the length is 3 more than double the width, www.
- Find the perimeter of a rectangle given that the length is 4 less than triple the width, www.
- In this video, Steph Curry makes a great 333-point shot in the NBA Finals. If the roots of the function representing his shot are x=30x = 30x=30 and x=−4x = -4x=−4, what is a po…
- Find the area of a circle whose radius can be represented as, r=3x−9r = 3x-9r=3x−9, as a function of xxx.