Question 1

Factor by grouping. $$3 x ^ { 2 } + 21 x - 7 x - 49$$

Accepted Answer

A)  $( 3 x - 7 ) ( x + 7 )$ 
B)  $3 x ^ { 2 } + 21 x - 7 ( x + 7 )$ 
C)  $3 x ( x + 7 ) - 7 ( x + 7 )$ 
D)  $3 x ( x + 7 ) - 7 x + 49$ 
E)  $( 3 x - 7 ) ( x - 49 )$ 
A)  $( 3 x - 7 ) ( x + 7 )$ 
B)  $3 x ^ { 2 } + 21 x - 7 ( x + 7 )$ 
C)  $3 x ( x + 7 ) - 7 ( x + 7 )$ 
D)  $3 x ( x + 7 ) - 7 x + 49$ 
E)  $( 3 x - 7 ) ( x - 49 )$

Question 2

The owners of the rectangular swimming pool in the illustration want to surround the pool with a crushed-stone border of uniform width. They have enough stone to cover 68 square meters. How wide should they make the border? ( Hint : The area of the larger rectangle minus the area of the smaller is the area of the border.)

Accepted Answer

A) 1.5 m 
B) 3.5 m 
C) 1 m 
D) 2.5 m 
E) 0.5 m 
A) 1.5 m 
B) 3.5 m 
C) 1 m 
D) 2.5 m 
E) 0.5 m

Factor by grouping. $3 x ^ { 2 } + 21 x - 7 x - 49$

Basic Concepts and Properties

Equations, Inequalities, and Problem Solving

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Equations and Inequalities in Two Variables

Conic Sections

Functions

Systems of Equations

Exponential and Logarithmic Functions

Filters

Exam 3: Polynomials

Factor by grouping. 3x2+21x−7x−493 x ^ { 2 } + 21 x - 7 x - 493x2+21x−7x−49