What is the result of multiplying the polynomials \( (2x+7)(2x^2+5x-4) \)?
Math for College Algebra: 5.2 & 5.3 Flashcard

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Mathematics
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9th - 12th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The result is \( 4x^3 + 24x^2 + 27x - 28 \).
2.
FLASHCARD QUESTION
Front
Simplify the expression \( (3y^2+y^3-5)+(4y^2-4y+2y^3+8) \).
Back
The simplified expression is \( 3y^3 + 7y^2 - 4y + 3 \).
3.
FLASHCARD QUESTION
Front
What is the expanded form of \( (2x-3)^3 \)?
Back
The expanded form is \( 8x^3 - 36x^2 + 54x - 27 \).
4.
FLASHCARD QUESTION
Front
Multiply the polynomials \( (m+5)(m^2+4m-8) \).
Back
The result is \( m^3 + 9m^2 + 12m - 40 \).
5.
FLASHCARD QUESTION
Front
Simplify the expression \( 2x(-2x-3) \).
Back
The simplified expression is \( -4x^2 - 6x \).
6.
FLASHCARD QUESTION
Front
What is the distributive property in algebra?
Back
The distributive property states that \( a(b+c) = ab + ac \).
7.
FLASHCARD QUESTION
Front
Define a polynomial. Give an example.
Back
A polynomial is an expression consisting of variables and coefficients, involving only addition, subtraction, multiplication, and non-negative integer exponents. Example: \( 3x^2 + 2x - 5 \).
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