Unit 4 flashcard 8

Front

What is a zero of a quadratic function?

Back

A zero of a quadratic function is a value of x that makes the function equal to zero. It is also known as a root or solution of the equation.

Front

How do you find the greatest common factor (GCF) of a polynomial?

Back

To find the GCF of a polynomial, identify the highest degree of each variable in the terms and the largest coefficient that divides all the coefficients. Then, combine these to form the GCF.

Front

What is the process of factoring a polynomial?

Back

Factoring a polynomial involves rewriting it as a product of its factors, which can include numbers, variables, or other polynomials.

Front

What is the factored form of the expression 10x + 15?

Back

The factored form is 5(2x + 3).

Front

How do you factor the expression n^2 + 16n + 63?

Back

To factor n^2 + 16n + 63, look for two numbers that multiply to 63 and add to 16. The factors are (n + 7)(n + 9).

Front

What is the Greatest Common Factor (GCF) of -24m^3n^5p, 24mn^4p^2, and 4mn^5?

Back

The GCF is 4mn^4.

Front

What does it mean to factor out the Greatest Common Factor (GCF)?

Back

Factoring out the GCF means to divide each term of the polynomial by the GCF and express the polynomial as a product of the GCF and the remaining polynomial.

Front

What is the factored form of -8x^2y^2 + 32yz + 40y?

Back

The factored form is -8y(x^2y - 4z - 5).

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form y = ax^2 + bx + c, where a, b, and c are constants.

Front

How can you determine the zeros of a quadratic function using factoring?

Back

To determine the zeros, factor the quadratic into the form (x - p)(x - q) = 0, where p and q are the zeros. Then, set each factor equal to zero and solve for x.