# Elementary Algebra: Basic Operations with Polynomials

Elementary Algebra: Basic Operations with Polynomials)

2. Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x ?

A. -6x2 + 25x + 6

B. 6x2 + 5x + 6

C. 6x2 - 5x + 6

D. 6x2 - 5x - 6

E. 6x2 - 13x - 6

(Elementary Algebra: Substituting Values into Algebraic Expressions)

3. If x = -1 and y = 2, what is the value of the expression 2x3 - 3xy ?

A. 8

B. 4

C. -1

D. -4

E. -8

(Intermediate Algebra: Rational Expressions)

4. For all r 2, = ?

A.

B.

C.

D.

E.

(Coordinate Geometry: Linear Equations in Two Variables)

5. What is the equation of the line that contains the points with (x,y) coordinates(-3,7) and (5,-1) ?

A. y = 3x - 2

B. y = x + 10

C. y = - x + 8

D. y = - x +

E. y = -x + 4

https://brainmass.com/math/basic-algebra/elementary-algebra-basic-operations-polynomials-263499

#### Solution Preview

Elementary Algebra: Basic Operations with Polynomials)

2. Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x ?

A. -6x2 + 25x + 6

B. 6x2 + 5x + 6

C. 6x2 - 5x + 6

D. 6x2 - 5x - 6

E. 6x2 - 13x - 6

Solution:

We can write 3 less than twice x as algebraic expression as (2x - 3)

And 2 more than the quantity 3 times x as algebraic expression as (3x + 2)

We have to find the product now

(2x - 3)(3x + 2) ...

#### Solution Summary

The expert examines the basic operations with polynomial elementary algebra.