Algebraic Expressions and Equations

Front

What are the zeros of the polynomial y = 3(x + 4)(x + 1)(x - 3)?

Back

The zeros are -4, -1, and 3.

Front

Multiply (x + 2)(x^2 + 3x + 4).

Back

The result is x^3 + 5x^2 + 10x + 8.

Front

Evaluate b^2 + 4 when b = 3.

Back

The result is 13.

Front

Solve for x: 2x^2 - 8x = 0.

Back

x = 0 or x = 4.

Front

Factor Completely: 15t^2 - 27t - 6.

Back

The factored form is 3(5t + 1)(t - 2).

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols.

Front

Define a polynomial.

Back

A polynomial is an algebraic expression that consists of terms with non-negative integer exponents.

Front

What is the degree of a polynomial?

Back

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

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression does not include an equality sign.

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components that, when multiplied together, give the original expression.