# Solving Quadratic Equations: Factoring

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question
Two positive integers have a product of 176. One integer is 5 less than the other integer. Which equation can be used to find the value of x, the greater integer?
c
question
John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.
b
question
The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring.
-420
question
The product of two consecutive negative integers is 600. What is the value of the lesser integer?
c
question
The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?
a
question
A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.
c
question
Which is a solution to the equation? (x β2)(x + 5) = 18
b
question
Two negative integers are 8 units apart on the number line and have a product of 308.
a
question
Two positive integers are 3 units apart on a number line. Their product is 108.
a
question
x2 + 6x = 40
a
question
Which is a solution to (x β 2)(x + 10) = 13?
a
question
What is the positive solution of x2 - 36 = 5x?