Factoring Trinomials: A Comprehensive Guide

What is the leading coefficient in the trinomial x^2 + 3x - 10?

• 1

• 3

• -10

• 0

Which pair of numbers adds to 3 and multiplies to -10?

• 5 and -2

• 2 and 1

• -3 and -7

• 4 and -1

What does the AM method stand for in trinomial factoring?

• Algebraic Manipulation

• Addition and Multiplication

• None of the above

• Arithmetic Mean

In the expression x^2 + 3x - 10, what are the signs of the numbers that need to be factored?

• Both positive

• Both negative

• Cannot be determined

• One positive, one negative

What is the greatest common factor in the terms 18x^4 - 18x^2 + 15?

• 3

• 18

• 6

• 9

What should be factored out first if possible when factoring a polynomial?

• The highest exponent

• The smallest coefficient

• The variable x

• The greatest common factor

How do you find factors of a number using a calculator?

• Multiply the number by x

• None of the above

• Type the number divided by x and check the table of values

• Subtract x from the number

What is the square root of x^4?

• x^2

• 2x

• x^3

• 4x

When factoring trinomials with a leading coefficient different from 1, what additional steps might be necessary?

• None of the above

• Factoring out a GCF

• Using the quadratic formula

• Applying synthetic division

Which method involves factoring by recognizing a difference of squares?

• GCF method

• Quadratic method

• AM method

• DOS method