Factoring Review

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is the factored form of a quadratic expression?

Back

The factored form of a quadratic expression ax² + bx + c is (px + q)(rx + s), where p, q, r, and s are constants.

Front

Factor the expression: 4n² - 17n - 15

Back

(n-5)(4n+3)

Front

Factor the expression: k² - 2k - 24

Back

(k+4)(k-6)

Front

Factor the expression: 3v² - 4v - 7

Back

(3v-7)(v+1)

Front

Factor the expression: 3a² + 4a + 1

Back

(3a+1)(a+1)

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into simpler polynomials with integer coefficients.

Front

What is the difference between a factor and a multiple?

Back

A factor is a number that divides another number without leaving a remainder, while a multiple is the result of multiplying a number by an integer.

Front

Factor the expression: 4x² + 8x + 10

Back

2(2x² + 4x + 5)

Front

What is the zero-product property?

Back

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