Factoring and Solving polynomials

Front

What is factoring in polynomials?

Back

Factoring is the process of breaking down a polynomial into simpler components (factors) that, when multiplied together, give the original polynomial.

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two or more factors is zero, at least one of the factors must be zero.

Front

Solve the equation by factoring: 30r² + 15r = 0

Back

r = 0 and r = 1/2

Front

Solve the equation by factoring: x² + 12x + 32 = 0

Back

x = -4 and x = -8

Front

Solve the equation by factoring: n² + 11n + 30 = 0

Back

n = -6 and n = -5

Front

Solve the equation by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5

Front

What is a polynomial?

Back

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

Front

What does it mean to solve a polynomial equation?

Back

To solve a polynomial equation means to find the values of the variable that make the equation true.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms, from the highest degree to the lowest.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0.