Adding and Subtracting Polynomials
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Quiz Time
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A rectangle has a length represented by 8x²
+ 5x + 3 and a width of 6x² + 4x + 2. What is
the total perimeter of the rectangle?
a) 28x² + 18x + 10 b) 14x² + 9x + 5
c) 28x² + 18x + 20 d) 14x² + 10x + 5
Slide 3
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The profits of a company are represented by
10x² + 6x + 8, while the expenses are 7x² +
4x + 5. What is the net profit?
a) 3x² + 2x + 3 b) 3x² + 3x + 3
c) 17x² + 10x + 13 d) 3x² + 2x + 2
Slide 4
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The distance traveled by a car is represented
by 12x² + 8x + 6, while another car traveled
9x² + 6x + 4. What is the total distance
traveled?
a) 21x² + 14x + 10 b) 21x² + 13x + 10
c) 21x² + 14x + 12 d) 20x² + 13x + 11
Slide 5
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The height of one building is represented by
15x² + 9x + 7, while another building’s
height is 12x² + 7x + 5. What is the
difference in their heights?
a) 3x² + 2x + 2 b) 3x² + 2x + 3
c) 27x² + 16x + 12 d) 3x² + x + 2
Slide 6
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A rectangular garden has dimensions
represented by 9x² + 4x + 5 and 7x² + 3x +
4. What is the total perimeter of the garden?
a) 32x² + 14x + 18 b) 32x² + 14x + 17
c) 32x² + 15x + 17 d) 32x² + 14x + 20
Slide 7
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A school has student enrollments
represented by 11x² + 6x + 4 in one grade
and 9x² + 5x + 3 in another grade. What is
the combined enrollment?
a) 20x² + 11x + 7 b) 20x² + 10x + 8
c) 20x² + 11x + 8 d) 20x² + 10x + 7
Slide 8
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A truck’s cargo weight is represented by
10x² + 5x + 6, while another truck has a
cargo weight of 8x² + 4x + 5. What is the
total weight of their cargo?
a) 18x² + 9x + 11 b) 18x² + 10x + 11
c) 18x² + 9x + 12 d) 18x² + 10x + 12
Slide 9
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The total sales of a store are represented by
16x² + 8x + 9, while the returns are
represented by 12x² + 6x + 5. What is the
net sales?
a) 4x² + 2x + 4 b) 4x² + 3x + 4
c) 28x² + 14x + 14 d) 4x² + 2x + 5
Slide 10
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The height of a hill is represented by 18x² +
9x + 7, while the height of another hill is
15x² + 7x + 5. What is the combined height?
a) 33x² + 16x + 12 b) 33x² + 15x + 11
c) 33x² + 16x + 11 d) 33x² + 15x + 12
Slide 11
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A rectangular park has a length represented
by 12x² + 6x + 5 and a width represented by
10x² + 4x + 3. What is the total perimeter of
the park?
a) 44x² + 20x + 16 b) 22x² + 10x + 8
c) 44x² + 20x + 14 d) 44x² + 20x + 18
Slide 12
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Scan and solve all polynomials problems
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