Grade 10 Factoring & Equations

Front

Solve for x: x² + 7x = 30

Back

x = -10 or x = 3

Front

Factor fully: 3x³ - x² + 6x - 2

Back

(x² + 2)(3x - 1)

Front

Factor Completely: 8x³ - 18x

Back

2x(2x + 3)(2x - 3)

Front

Factor: 4b⁵ + 4b³ + 16b²

Back

4b²(b³ + b + 4)

Front

Factor fully: 9x² + 4

Back

Cannot be factored

Front

What is factoring in algebra?

Back

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

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.

Front

What is the zero-product property?

Back

If the product of two factors is zero, at least one of the factors must be zero.

Front

What is the difference of squares?

Back

The difference of squares is a² - b² = (a - b)(a + b).

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression that can be factored into the square of a binomial, e.g., a² + 2ab + b² = (a + b)².