MAT 062 EXAM 4
CRF24
1. Perform the indicated operation by removing the parentheses and combining like terms.
( 3x − 7 ) + ( −2x 2 + x − 3)
2. Multiply the polynomial by the monomial using the distributive property and/or the product
rule of exponents.
( −4x − 7 )( 3x 2 )
3. Perform the indicated operation by removing the parentheses and combining like terms.
( 3x 2 − 2 ) − ( −4x 2 + 2 )
4. Find the product of the binomial factors using the appropriate special product (difference of
two squares, square of a binomial sum, or square of a binomial difference).
( 3x − 2y )( 3x + 2y )
5. Simplify the expression using the properties of exponents. (Note that the answer should only
contain positive exponents and please be sure to expand any numerical portion of the
answer.)
⎛ x 3 y −2 ⎞
⎜⎝ 3xy −4 ⎟⎠
−2
6. Consider the polynomial 2 − 3x .
(a) Determine if the expression is a monomial, binomial, or trinomial.
(b) Determine the degree and the leading coefficient of the polynomial.
Degree __________
Leading Coefficient __________
7. Multiply the polynomials and combine like terms.
( 4x + y )( 7x − 3y )
8. Determine if the expression is a polynomial.
7+ x
9. Simplify the expression
1
2
0.064 × 0.0022
using scientific notation and express your answer in
0.64 × 0.011
scientific notation.
10. Multiply the binomials and combine like terms.
( 7x + 6 )( x − 2 )
11. Simplify the expression using the properties of exponents. (Note that the answer should only
contain positive exponents and please be sure to expand any numerical portion of the
answer.)
(−5)2
12. Find the product of the binomial factors using the appropriate special product.
( 3x − 5 )2
13. Simplify the expression using the properties of exponents. (Note that the answer should only
contain positive exponents and please be sure to expand any numerical portion of the
answer.)
x4
x7
14. A square is 8 inches on each side. A small square, x inches on each side is cut from the
middle of the original square. Represent the area of the remaining portion of the square in
the form of a polynomial.
15. Simplify the expression using the properties of exponents. (Note that the answer should only
contain positive exponents and please be sure to expand any numerical portion of the
answer.)
⎛ −4a 3b −2 ⎞
⎜⎝ b 4 ⎟⎠
3
16. Find the product of the binomial factors using the appropriate special product.
( 3x + 5 )( 3x − 5 )
17. Perform the indicated operation by removing parentheses and combining like terms.
( 2x + 7 ) − ( −3x + 11)
18. Multiply the binomials and combine like terms.
(7x + 3)(2x − 5)
19. Simplify the expression using the properties of exponents. (Note that the answer should only
contain positive exponents and please be sure to expand any numerical portion of the
answer.)
⎛ 4m 2 ⎞
⎜⎝ n −3 ⎟⎠
−2
20. Multiply the polynomials and combine like terms.
(8x + 3)(−2x 3 + 3y − 7)