Polynomials ACT Practice

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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 a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

How do you find the roots of a quadratic equation?

Back

The roots of a quadratic equation can be found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the product of the roots of a quadratic equation?

Back

The product of the roots of a quadratic equation ax² + bx + c = 0 is given by c/a.

Front

What is the sum of the roots of a quadratic equation?

Back

The sum of the roots of a quadratic equation ax² + bx + c = 0 is given by -b/a.

Front

What is factoring in polynomials?

Back

Factoring is the process of breaking down a polynomial into simpler polynomials that, when multiplied together, give the original polynomial.

Front

What is the difference of squares?

Back

The difference of squares is a special factorization pattern: a² - b² = (a - b)(a + b).

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.