What is the product of \( (8x-7)(2-6x+9x^2) \)?
Algebra 2 Semester 1 Final

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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 product is \( 72x^3 - 111x^2 + 58x - 14 \).
2.
FLASHCARD QUESTION
Front
Find the zeros of the function \( y=(x+2)(x-3)(3x-5) \).
Back
The zeros are \( x=-2, x=3, x=\frac{5}{3} \).
3.
FLASHCARD QUESTION
Front
State the zeros of the polynomial function \( f(x)=x(x+3)^2(x-2) \).
Back
The zeros are \( 0, 2, -3 \) with \(-3\) having multiplicity 2.
4.
FLASHCARD QUESTION
Front
What are the zeros of the function \( y \)?
Back
The zeros are \( -3, -1, 2, 5 \).
5.
FLASHCARD QUESTION
Front
Describe the transformation of \( p(x) = f(x + 3) \).
Back
The transformation is a shift left by 3 units.
6.
FLASHCARD QUESTION
Front
What is the definition of a polynomial function?
Back
A polynomial function is a function that can be expressed in the form \( f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0 \), where \( a_n, a_{n-1}, ..., a_0 \) are constants and \( n \) is a non-negative integer.
7.
FLASHCARD QUESTION
Front
What is the degree of a polynomial?
Back
The degree of a polynomial is the highest power of the variable in the polynomial.
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