CHECK Your Una 1. Simplify. b) a) (3x² - 7x + 5) + (x²-x + 3) (x² - 6x + 1)-(-x² - 6x + 5) c) (2x² - 4x + 3) - (x²-3x + 2) + (x² - 1) 2. Show that f(x) and g(x) are equivalent by simplifying each. f(x) = (2x - 1)-(3-4x) + (x + 2) g(x)= (-x+6) + (6x9) (-2x - 1) 3. Show that f(x) and g(x) are not equivalent by evaluating each function- suitable value of x. PRACTISING 4. Simplify. a) (2a + 4c + 8) + (7a-9c-3) (3x + 4y - 52) + (2x² + 6z) (6x + 2y + 9) + (-3x - 5y - 8) (2x² - 7x + 6) + (x² - 2x - 9) (-4x² - 2xy) + (6x2-3xy + 2y²) (x² + y² + 8) + (4x² - 2y² - 9) b) c) d) c) d) e) e) f) f(x) = 2(x-3) + 3(x-3) g(x) = 5(2x - 6) 5. Simplify. a) (m-n+2p) - (3n+p-7) b) (-6m2q + 8) c) (4a²-9) - (a³ + 2a-9) d) 6. Simplify. a) b) (2m² - 6mn + 8n²) + (4m² + mn + e) (3x² + 2y² + 7) - (4x²2y² - 8) f) 5x² - (2x² + 30) + (+20) (2m + 2q + 7) (2x−y) - (-3x + 4y) + (6x-2y) (3x²2x) + (x² - 7x) - (7x + 3) 7n²) VU IN (2x² + xy - y²) - (x² - 4xy + y²) + (3x² - 5xy) (xy - xz + 4yz) + (2x-3yz) - (4y - xz)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.3: Polynomials And Special Products
Problem 4ECP: Multiply x2+2x+3 by x22x+3 using a vertical arrangement.
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Related questions
Question
CHECK Your Unde
1. Simplify.
a)
(3x² - 7x + 5) + (x²-x + 3)
b) (x² - 6x + 1)-(-x² - 6x + 5)
c)
(2x² - 4x + 3) - (x²-3x + 2) + (x² - 1)
2. Show that f(x) and g(x) are equivalent by simplifying each.
3. Show that f(x) and g(x) are not equivalent by evaluating each function.
suitable value of x.
PRACTISING
4. Simplify.
b)
a) (2a + 4c + 8) + (7a-9c-3)
(3x + 4y - 5z) + (2x² + 6z)
(6x + 2y + 9) + (-3x - 5y - 8)
(2x² - 7x + 6) + (x² - 2x - 9)
c)
f)
d)
f(x) = (2x-1)-(3-4x) + (x + 2)
g(x) = (x + 6) + (6x9) (-2x - 1)
e)
f) (x² + y² + 8) +
5. Simplify.
a) (m-n+2p) - (3n+p-7)
b)
(-6m 2q + 8)
(4a²-9) - (a³ + 2a-9)
6. Simplify.
a)
b)
(-4x² - 2xy) + (6x²-3xy + 2y²)
(4x² - 2y² - 9)
f(x) = 2(x 3) + 3(x − 3)
g(x) = 5(2x - 6)
c)
d) (2m² - 6mn + 8n²) + (4m² + mn +
(3x² + 2y² + 7) - (4x² - 2y² - 8)
f) 5x² - (2x² +30) + (-20)
e)
-x+
2
(2x-y)-(-3x + 4y) + (6x-2y)
(3x²2x) + (x² - 7x) - (7x + 3)
c) (2x² + xy - y²) - (x² + 4xy + y²) + (3x² - 5xy)
(xy - xz + 4yz) + (2x - 3yz) - (4y - xz)
d)
1
e)
3
(2m + 2q + 7)
-
7n²)
(+2)+(x + ½-1)
7. Use two different methods to show that the expressions
K (3x²-x) - (5x² - x) and - 2x²
2x are not equivalent.
8. Determ
a) f(:
8(
b) 3,1
C) Y
d) f
e)
f)
9. Det
f(0
10. Ko
qu
no
x
a
11.
A
1
Transcribed Image Text:CHECK Your Unde 1. Simplify. a) (3x² - 7x + 5) + (x²-x + 3) b) (x² - 6x + 1)-(-x² - 6x + 5) c) (2x² - 4x + 3) - (x²-3x + 2) + (x² - 1) 2. Show that f(x) and g(x) are equivalent by simplifying each. 3. Show that f(x) and g(x) are not equivalent by evaluating each function. suitable value of x. PRACTISING 4. Simplify. b) a) (2a + 4c + 8) + (7a-9c-3) (3x + 4y - 5z) + (2x² + 6z) (6x + 2y + 9) + (-3x - 5y - 8) (2x² - 7x + 6) + (x² - 2x - 9) c) f) d) f(x) = (2x-1)-(3-4x) + (x + 2) g(x) = (x + 6) + (6x9) (-2x - 1) e) f) (x² + y² + 8) + 5. Simplify. a) (m-n+2p) - (3n+p-7) b) (-6m 2q + 8) (4a²-9) - (a³ + 2a-9) 6. Simplify. a) b) (-4x² - 2xy) + (6x²-3xy + 2y²) (4x² - 2y² - 9) f(x) = 2(x 3) + 3(x − 3) g(x) = 5(2x - 6) c) d) (2m² - 6mn + 8n²) + (4m² + mn + (3x² + 2y² + 7) - (4x² - 2y² - 8) f) 5x² - (2x² +30) + (-20) e) -x+ 2 (2x-y)-(-3x + 4y) + (6x-2y) (3x²2x) + (x² - 7x) - (7x + 3) c) (2x² + xy - y²) - (x² + 4xy + y²) + (3x² - 5xy) (xy - xz + 4yz) + (2x - 3yz) - (4y - xz) d) 1 e) 3 (2m + 2q + 7) - 7n²) (+2)+(x + ½-1) 7. Use two different methods to show that the expressions K (3x²-x) - (5x² - x) and - 2x² 2x are not equivalent. 8. Determ a) f(: 8( b) 3,1 C) Y d) f e) f) 9. Det f(0 10. Ko qu no x a 11. A 1
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