FIND THE MISSING FACTOR OF A POLYNOMIAL WORKSHEET

Find the missing factor :

Solution

Problem 10 :

Factorize x² - 6x - 16

Solution

Problem 11 :

Factorize x² - 10xy + 24y²

Solution

Problem 12 :

Factorize 125x³ - 1

Solution

Problem 13 :

Factorize a³  - 14a² + 49a

Solution

Problem 14 :

The Parthenon in Athens, Greece, is an ancient structure that has a rectangular base. The length of the base of the Parthenon is 8 meters more than twice its width. The area of the base is about 2170 square meters. Find the length and width of the base.  

Solution

Problem 14 :

Your friend says that to solve the equation 5x² + x − 4 = 2, you should start by factoring the left side as (5x − 4)(x + 1). Is your friend correct? Explain.

Solution

Problem 15 :

The length of a rectangular birthday party invitation is 1 inch less than twice its width. The area of the invitation is 15 square inches. Will the invitation fit in the envelope shown without being folded? Explain.

Solution

Problem 16 :

The length of a rectangle is 1 inch more than twice its width. The value of the area of the rectangle (in square inches) is 5 more than the value of the perimeter of the rectangle (in inches). Find the width.

Solution

Find the missing factors of the following tree.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Problem 9 :

Solution

Problem 1 :

There bells toll together at 10 am. The first bell tolls every 10 seconds, the second tolls every 15 seconds, and the third tolls every 20 seconds. At what time will the three bells toll together next?

Solution

Problem 2 :

There are three tigers in a jungle. All three roar together at 6.00 am as soon as they wake up. Thereafter one roars every 20 seconds, another roars every 25 seconds and third roars every 30 seconds. When will the three tigers roar together again? When will they roar together after that?

Solution

Problem 3 :

Water starts to drip out of two taps. A drop of water comes out of one tap every 5 seconds and out of the other tap every 7 seconds. After two drop fall together from the two taps. When will be the next time that two drops will again fall from the two taps at the same time?

Solution

Problem 4 :

There are three marigold plants in flower pots. A flower bloom on one plant every 2 days. The second plant bears a flower every 3 days and the third one every 4 days. If there is a flower on each of the three plants today. When will the flowers bloom together again ?

Solution

Problem 5 :

In a morning walk, three persons step off together. Their steps measure 80 cm, 85 cm, and 90 cm respectively. What is the minimum distance each should walk so that all can cover the same distance in complete steps?

Solution

Problem 6 :

You have diving lessons every fifth day and swimming lessons every third day. Today you have both lessons. In how many days will you have both lessons on the same day again?

Solution

Problem 7 :

Hot dogs come in packs of 10, while buns come in packs of eight. What are the least numbers of packs you should buy in order to have the same numbers of hot dogs and buns?

Solution

Problem 8 :

Tell whether the statement is always, sometimes, or never true.

i) The LCM of two different prime numbers is their product.

ii) The LCM of a set of numbers is equal to one of the numbers in the set.

Solution