Solving Quadratic Equations: Factoring

Question 1

The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x represents the smaller integer. Which equation can be factored and solved for the smaller integer?

Revolt · Accepted Answer

A: x2 + x – 72 = 0

Question 2

–5–33✔ 5

Revolt · Accepted Answer

D: 5

Question 3

Question 3

Revolt · Accepted Answer

137979

Question 4

Question 4

Revolt · Accepted Answer

137982

Question 5

Question 5

Revolt · Accepted Answer

81752

Question 6

Two positive, consecutive, odd integers have a product of 143. Complete the equation to represent finding x, the greater integer. x(x – ) = 143 What is the greater integer?

Revolt · Accepted Answer

Part 1: 2; Part 2: 13

Question 7

Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two integers?

Revolt · Accepted Answer

A: –23

Question 8

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.

Revolt · Accepted Answer

A: The area of the rectangle is 88 square inches.; C: The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.; D: The triangle has a base of 11 inches and a height of 8 inches.

Question 9

Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.1. (x + 3)(x + 4) = 12 2. x + 3 = 12 or x + 4 = 12 3. x = 9 or x = 8

Revolt · Accepted Answer

Percy is not correct because he tried to apply the zero product property to an equation that was not set equal to 0. He should have first subtracted 12 from both sides to get the equation in standard form, x^2 + 7x = 0. Then, he could factor it as x(x + 7) = 0. The correct solutions are x = 0 and x = -7.

Question 10

–20–12✔ 1220

Revolt · Accepted Answer

C: 12

Solving Quadratic Equations: Factoring Answers

More from this Course

TRY EDGENUITY HACKS