1. Simplify. (7x2 - 2x + 1) + (9x² – 4x + 5) – (4x2 + 6x - 7) b) (7a? - 4ab + 96²) – (-a? + 2ab +662) 2. Determine two non-equivalent polynomials f(x) anc
1. Simplify. (7x2 - 2x + 1) + (9x² – 4x + 5) – (4x2 + 6x - 7) b) (7a? - 4ab + 96²) – (-a? + 2ab +662) 2. Determine two non-equivalent polynomials f(x) anc
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Please do all of them!!!!
![1. Simplify.
a) (7x2 – 2x + 1) + (9x² – 4x + 5) –
(4x2 + 6x - 7)
b) (7a? – 4ab + 96²) –
(-a² + 2ab + 6b²)
2. Determine two non-equivalent polynomials f(x) and
g(x), such that f(0)
g(0) and f(1) = g(1).
3. Ms. Flanagan has three daughters: Astrid, Beatrice,
and Cassandra. Today, January 1, their ages are,
respectively,
A(n)= - (n + 30) + (2n + 5) -
B(n) = (7 – n) – (32 – 2n)
C(n) = (n – 26) – (n + 4) + (n – 3)
and n represents
All ages are expressed in
Ms. Flanagan's age.
a) Are the daughters triplets? Explain.
b) Are any of them twins? Explain.
c)
years,
How old was Ms. Flanagan when Cassandra
was born?
Lesson 2.2
4. Expand and simplify.
a) -3(7x – 5)(4x – 7)
b) - (y² – 4y + 7) (3y² – 5y – 3)
c) 2(a + b)³
d) 3(x – 2)²(2x - 3)'
5. The volume of a cone is given by V= -"rh.
Determine the volume of the cone in simplified form
if the radius is increased by x and the height is
increased by 2x.
Lessón 2.3
6. Simplify.
a) (2x - 3x2- 6) + (6x* – x³ + 4x² + 5)
b) (x2 – 4)(2x² + 5x – 2)
c) -7x(x² + x - 1) – 3x(2x² – 5x + 6)
d) -2x (3x - 7x + 2) – x*(5x³ + 2x – 8)
e) - 2x [5x - (2x –7)]+ 6x[3x – (1 + 2x)]
f) (x + 2) (x - 1)² – (x – 4)²(x + 4)²
g) (x2 + 5x – 3)²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c471e08-7305-4d33-8164-421cd61d9dc7%2F172ae19b-3253-4d83-9242-0e626816b38b%2Fxlsn6w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Simplify.
a) (7x2 – 2x + 1) + (9x² – 4x + 5) –
(4x2 + 6x - 7)
b) (7a? – 4ab + 96²) –
(-a² + 2ab + 6b²)
2. Determine two non-equivalent polynomials f(x) and
g(x), such that f(0)
g(0) and f(1) = g(1).
3. Ms. Flanagan has three daughters: Astrid, Beatrice,
and Cassandra. Today, January 1, their ages are,
respectively,
A(n)= - (n + 30) + (2n + 5) -
B(n) = (7 – n) – (32 – 2n)
C(n) = (n – 26) – (n + 4) + (n – 3)
and n represents
All ages are expressed in
Ms. Flanagan's age.
a) Are the daughters triplets? Explain.
b) Are any of them twins? Explain.
c)
years,
How old was Ms. Flanagan when Cassandra
was born?
Lesson 2.2
4. Expand and simplify.
a) -3(7x – 5)(4x – 7)
b) - (y² – 4y + 7) (3y² – 5y – 3)
c) 2(a + b)³
d) 3(x – 2)²(2x - 3)'
5. The volume of a cone is given by V= -"rh.
Determine the volume of the cone in simplified form
if the radius is increased by x and the height is
increased by 2x.
Lessón 2.3
6. Simplify.
a) (2x - 3x2- 6) + (6x* – x³ + 4x² + 5)
b) (x2 – 4)(2x² + 5x – 2)
c) -7x(x² + x - 1) – 3x(2x² – 5x + 6)
d) -2x (3x - 7x + 2) – x*(5x³ + 2x – 8)
e) - 2x [5x - (2x –7)]+ 6x[3x – (1 + 2x)]
f) (x + 2) (x - 1)² – (x – 4)²(x + 4)²
g) (x2 + 5x – 3)²
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