Math 55
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Mid-Chapter4Review-NatalieBanks.pdf
11/22/2020 Mid-Chapter 4 Review-Natalie Banks
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Student: Natalie Banks Date: 11/22/20
Instructor: Sam Pearsall Course: Math 55, Oct-Dec F20 Assignment: Mid-Chapter 4 Review
Identify the terms, the degree of each term and the degree of the polynomial. Then identify the leading term, the leading coefficient, and the constant term.
r + 5r + f r − 46 20 9 4
List the terms of the polynomial .r + 5r + f r − 46 20 9 4
(Use a comma to separate answers as needed.)
The degree of the first term is .
The degree of the second term is .
The degree of the third term is .
The degree of the fourth term is .
The degree of the polynomial is .r + 5r + f r − 46 20 9 4
The leading term of the polynomial is .
The leading coefficient of the polynomial is .
The constant term of the polynomial is .
Identify the terms, the degree of each term and the degree of the polynomial. Then identify the leading term, the leading coefficient, and the constant term.
− 2c − 7c + 3c + 4c − 9 6 4 3
List the terms of the polynomial .− 2c − 7c + 3c + 4c − 96 4 3
(Use a comma to separate answers as needed.)
The degree of the first term is .
The degree of the second term is .
The degree of the third term is .
The degree of the fourth term is .
The degree of the fifth term is .
The degree of the polynomial is .− 2c − 7c + 3c + 4c − 96 4 3
The leading term of the polynomial is .
The leading coefficient of the polynomial is .
The constant term of the polynomial is .
11/22/2020 Mid-Chapter 4 Review-Natalie Banks
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Arrange the terms of the polynomial in descending powers of .c
13 − 8c + 4c − 2c6 4
13 − 8c + 4c − 2c6 4 =
Arrange the terms of the polynomial in descending powers of .d
a d + a d − ad + 213 3 4 4
a d + a d − ad + 21 3 3 4 4
=
Evaluate the polynomial function for the given values of the variable.
p(x) ;
p( ), p( ), p( ), and = 7x + 3x − 5x − 93 2 − 1 0 3 p 1 3
p( ) (Simplify your answer. Type an integer, fraction, or mixed numeral.)− 1 =
p( ) (Simplify your answer. Type an integer, fraction, or mixed numeral.)0 =
p( ) (Simplify your answer. Type an integer, fraction, or mixed numeral.)3 =
(Simplify your answer. Type an integer, fraction, or mixed numeral.)p 1 3
=
For the function f(x) x , find each of the following.= 5x2 − 7 + 7
a) f(t )− 3 b) f(p )+ 2 c) f(a h) f(a)+ − d) f(t ) c− 1 + e) f(a) + 3
a) f(t ) (Simplify your answer. Do not factor.) − 3 =
b) f(p ) (Simplify your answer. Do not factor.) + 2 =
c) f(a h) f(a) (Simplify your answer. Do not factor.) + − =
d) f(t ) c (Simplify your answer. Do not factor.) − 1 + =
e) f(a) (Simplify your answer. Do not factor.) + 3 =
Add.
( ) ( )3s2 + 9s − 7sf − 9 + − 12s2 − 6s + 4sf + 6
( ) ( )3s 2
+ 9s − 7sf − 9 + − 12s 2
− 6s + 4sf + 6 =
Add.
( ) ( ) ( )5v2 + 17v − 11 + 6v2 − 5v + 6 + v2 − 7v − 7
( ) ( ) ( )5v2 + 17v − 11 + 6v2 − 5v + 6 + v2 − 7v − 7 =
11/22/2020 Mid-Chapter 4 Review-Natalie Banks
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Multiply.
(s + 7)(s − 5)
(s + 7)(s − 5) = (Simplify your answer.)
Multiply.
3bh(b + h)
(Simplify your answer.)3bh(b + h) =
Multiply.
x3 + 3 x3 − 2
(Simplify your answer.)x3 + 3 x3 − 2 =
Subtract the polynomials.
( ) ( )3r2 − 4r − r3 − 7r2 − r3 − 10r
( ) ( )3r 2
− 4r − r 3
− 7r 2
− r 3
− 10r =
Subtract the polynomials.
( ) ( )4a − 4 − − 4a + 14
( ) ( )4a − 4 − − 4a + 14 =
Multiply.
x + 77 2
The answer is .
Multiply.
8g − 8g h3 3
8g − 8g h3 3 = (Simplify your answer.)
Multiply.
(v + t) v − vt + t2 2
(v + t) v − vt + t2 2 = (Simplify your answer.)
11/22/2020 Mid-Chapter 4 Review-Natalie Banks
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Multiply.
(4v − 2)(5v + 4)
(4v − 2)(5v + 4) = (Simplify your answer.)
Multiply.
(5a + 6)(5a − 6)
(Simplify your answer.)(5a + 6)(5a − 6) =
Factor.
8y + 2y2
8y + 2y2 = (Factor completely.)
Factor the trinomial.
s + 5s − 362
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. (Factor completely.)s + 5s − 362 = B. The trinomial is not factorable.
Factor.
56 + r − r 2
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. (Factor completely.)56 + r − r2 =
B. The trinomial is not factorable.
Factor the following expression.
z − z +2 2 11
1 121
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. z − z +2
2 11
1 121
=
(Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The given polynomial is not factorable.
11/22/2020 Mid-Chapter 4 Review-Natalie Banks
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Factor completely.
2y − 6y − 562
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. 2y − 6y − 562 =
B. The polynomial is not factorable.
Write an equivalent expression by factoring.
a − 4a + 8a − 323 2
(Factor completely.)a − 4a + 8a − 323 2 =
Factor completely.
4x 5
y 8
z 4
− 8x y z 4 7 5
4x5 y8 z4 − 8x y z4 7 5 =
Factor the trinomial.
b2 − b + 13
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. The answer is . (Factor completely.)
B. The trinomial is not factorable.
