Grade 10 Factoring & Equations

Front

Solve for x: x² + 7x = 30

Back

x = -10 or x = 3

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA.APR.C.4

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.

Tags

CCSS.HSA-REI.B.4B

Front

What is the difference of squares?

Back

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

Tags

CCSS.HSA.APR.C.4

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.

Tags

CCSS.HSA.APR.C.4