Question

Which expression in the result of factoring the expression below by taking out its greatest common factor?

8x^2-24=?

Answer 1

Quadratic Expression: is an expression with the variable with the highest exponent being 2

General form: ax^2 + bx + c

Greatest common factor (GCF): the largest whole number that divides evenly into a set of numbers

When factoring out the GCF of this expression we must look at the "a" term and "c" term

• the greatest common factor of the terms a and c is 8
• we can that factor out the 8 from the original expression, putting it outside the brackets and dividing the original terms by the GCF
• 8/8 =1 and -24/8= -3

`8(x^2-3)` which is the expression factored.