Factoring Quadratics: Day 3A Insights

What is the first step in factoring quadratics when 'a' is not 1?

• List all factors of 'a'

• Divide 'b' by 'a'

• Find the Greatest Common Factor (GCF)

• Multiply 'a' and 'c'

What do the two numbers need to do in relation to 'ac' and 'b'?

• Add to 'ac' and divide 'b'

• Subtract to 'ac' and multiply to 'b'

• Divide 'ac' and subtract from 'b'

• Multiply to 'ac' and add to 'b'

How do you simplify the terms in the parentheses after finding the two numbers?

• Subtract 'a' from both terms

• Multiply both terms by 'a'

• Divide both terms by their GCF with 'a'

• Add 'a' to both terms

What is crucial to check after simplifying the factored form?

• If the terms are in ascending order

• If 'a' is greater than 'b'

• If the coefficients are prime numbers

• If it equals the original equation

When factoring a quadratic with two terms, what should you always look for first?

• Any common variables

• The sum of squares

• The difference of squares

• The Greatest Common Factor (GCF)

In the example with two terms, what common factor is taken out?

• 5x

• 10x

• 3x

• 15x

What is the result of factoring 15x^2 - 10x?

• 3x(5x + 2)

• 3x(5x - 2)

• 5x(3x + 2)

• 5x(3x - 2)

For the equation 7x^2 - 5x - 2, what are the two numbers found that multiply to 'ac' and add to 'b'?

• 5 and -2

• -5 and 2

• 7 and -2

• -7 and 2

What is the factored form of 7x^2 - 5x - 2?

• (x - 1)(7x - 2)

• (x + 1)(7x + 2)

• (x + 1)(7x - 2)

• (x - 1)(7x + 2)

Why is it important to simplify the terms in the parentheses after factoring?

• To find the simplest form for easier understanding

• To increase the complexity of the problem

• To make the equation unsolvable

• To change the value of 'a'