Algebra 2 Semester 1 Final

Front

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

Back

The product is \( 72x^3 - 111x^2 + 58x - 14 \).

Front

Find the zeros of the function \( y=(x+2)(x-3)(3x-5) \).

Back

The zeros are \( x=-2, x=3, x=\frac{5}{3} \).

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.

Front

What are the zeros of the function \( y \)?

Back

The zeros are \( -3, -1, 2, 5 \).

Front

Describe the transformation of \( p(x) = f(x + 3) \).

Back

The transformation is a shift left by 3 units.

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.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What does it mean for a zero to have multiplicity?

Back

A zero has multiplicity if it is a root of the polynomial that appears more than once in its factorization.

Front

How do you find the zeros of a polynomial function?

Back

To find the zeros, set the polynomial equal to zero and solve for the variable.

Front

What is the factored form of a polynomial?

Back

The factored form of a polynomial expresses it as a product of its linear factors.