EXERCISE 8.1 1. Write down whether these expressions are monomials, binomials or trinomials a) 2x²+11y c) 23ab-14ab2 2. Find the value of 4x²+10x-17 if: a) x=0 b) x=6 3. In the expression 12x² + 2x-15: b) 17abc-28bdp + 122fgh d) (27m²n)³ a) How many terms are in the expression? b) Write down the coefficient of x². c) x=-4 c) What is the value of the constant term? d) Calculate the value of the expression, when x = -1. e) Write down the degree of the expression. Exam Simplify a) 2(4 Answe a) 8a = 3 b) 4. a) Are 3x2y3 and -5x3y² like terms? b) Are 4a²b³ and -2b³a² like terms? EXER 5. Simplify if possible: a) 7x²-14x² b) c) 8xy²+7x2y d) 15abc+12bca - 13acb 100x23-50x²y³ Simpli 1. a 2. a 6. Add the following polynomials: a) (2x²-4x+3)+(x² + 4x-4) c) (13x²-10) + (2x² - 11x+5) C b) (-x+11x-12)+(x²-13x-15) d) (7x28x)+(x²-5) + (2x²+8x+5 7. What must be added to 5x² - 3x + 8 to give 7x² - 3x + 10? 8. a) Subtract (4x2 - 2xy + 6y2) from (3x² + 3xy - 6y²) b) From 9a2+ 4a - 10 subtract 6a² + 3a-9 3. a C 4. 45 5. 6. Multiply and divide polynomials When you have a polynomial in a bracket multiplied by an integer or a monomial multiply every term inside the bracket by the integer or monomial in front of the bracket. Remember the rules of multiplying negative numbers as well as the exponent laws: For example 3(x² - 4x) = 3x² - 12x M W te (6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter8: Polynomials
Section: Chapter Questions
Problem 9SGR
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Question
EXERCISE 8.1
1. Write down whether these expressions are monomials, binomials or trinomials
a) 2x²+11y
c) 23ab-14ab2
2. Find the value of 4x²+10x-17 if:
a) x=0
b) x=6
3. In the expression 12x² + 2x-15:
b) 17abc-28bdp + 122fgh
d) (27m²n)³
a) How many terms are in the expression?
b) Write down the coefficient of x².
c) x=-4
c) What is the value of the constant term?
d) Calculate the value of the expression, when x = -1.
e) Write down the degree of the expression.
Exam
Simplify
a) 2(4
Answe
a) 8a
=
3
b)
4. a) Are 3x2y3 and -5x3y² like terms?
b) Are 4a²b³ and -2b³a² like terms?
EXER
5. Simplify if possible:
a)
7x²-14x²
b)
c) 8xy²+7x2y
d)
15abc+12bca - 13acb
100x23-50x²y³
Simpli
1. a
2. a
6. Add the following polynomials:
a) (2x²-4x+3)+(x² + 4x-4)
c) (13x²-10) + (2x² - 11x+5)
C
b) (-x+11x-12)+(x²-13x-15)
d) (7x28x)+(x²-5) + (2x²+8x+5
7. What must be added to 5x² - 3x + 8 to give 7x² - 3x + 10?
8. a) Subtract (4x2 - 2xy + 6y2) from (3x² + 3xy - 6y²)
b) From 9a2+ 4a - 10 subtract 6a² + 3a-9
3. a
C
4.
45
5.
6.
Multiply and divide polynomials
When you have a polynomial in a bracket multiplied by an integer or a monomial
multiply every term inside the bracket by the integer or monomial in front of
the bracket. Remember the rules of multiplying negative numbers as well as the
exponent laws:
For example 3(x² - 4x) = 3x² - 12x
M
W
te
(6
Transcribed Image Text:EXERCISE 8.1 1. Write down whether these expressions are monomials, binomials or trinomials a) 2x²+11y c) 23ab-14ab2 2. Find the value of 4x²+10x-17 if: a) x=0 b) x=6 3. In the expression 12x² + 2x-15: b) 17abc-28bdp + 122fgh d) (27m²n)³ a) How many terms are in the expression? b) Write down the coefficient of x². c) x=-4 c) What is the value of the constant term? d) Calculate the value of the expression, when x = -1. e) Write down the degree of the expression. Exam Simplify a) 2(4 Answe a) 8a = 3 b) 4. a) Are 3x2y3 and -5x3y² like terms? b) Are 4a²b³ and -2b³a² like terms? EXER 5. Simplify if possible: a) 7x²-14x² b) c) 8xy²+7x2y d) 15abc+12bca - 13acb 100x23-50x²y³ Simpli 1. a 2. a 6. Add the following polynomials: a) (2x²-4x+3)+(x² + 4x-4) c) (13x²-10) + (2x² - 11x+5) C b) (-x+11x-12)+(x²-13x-15) d) (7x28x)+(x²-5) + (2x²+8x+5 7. What must be added to 5x² - 3x + 8 to give 7x² - 3x + 10? 8. a) Subtract (4x2 - 2xy + 6y2) from (3x² + 3xy - 6y²) b) From 9a2+ 4a - 10 subtract 6a² + 3a-9 3. a C 4. 45 5. 6. Multiply and divide polynomials When you have a polynomial in a bracket multiplied by an integer or a monomial multiply every term inside the bracket by the integer or monomial in front of the bracket. Remember the rules of multiplying negative numbers as well as the exponent laws: For example 3(x² - 4x) = 3x² - 12x M W te (6
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