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Elementary Algebra: Basic Operations with Polynomials

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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

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Solution Summary

The expert examines the basic operations with polynomial elementary algebra.

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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) ...

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