Factoring Polynomials with Four Terms

The video tutorial covers the method of factoring by grouping, starting with a review of multiplying binomials using the box and FOIL methods. It then explains the steps for factoring by grouping, which involves grouping terms, identifying the greatest common factor (GCF), and factoring out common binomials. The tutorial includes several example problems to illustrate the process and ensure understanding.

Which method is used to multiply binomials before discussing factorization?

• Subtraction method

• Addition method

• Box method

• Cross multiplication

What method is introduced for factorization when dealing with four terms?

• Factorization by grouping

• Simple distribution

• Quadratic factorization

• Synthetic division

What is the first step in the factorization by grouping process?

• Combine like terms

• Distribute the common factors

• Group the terms into pairs

• Identify the GCF

What is the result of factoring out the GCF in the example with x cubed and 9x squared?

• x squared + 9

• 3x + 27

• x squared + 3

• x + 9

In the context of factorization, what does GCF stand for?

• Greatest Common Factor

• General Calculation Formula

• Graphical Configuration File

• Geometric Cubic Function

What should be done after pulling out the GCFs in factorization?

• Simplify the expression

• Identify new terms

• Factor out the common binomial

• Combine like terms

What should you do if the common binomials do not match in factorization?

• Start the process over

• Change the sign of the GCF

• Ignore the discrepancy

• Revise the GCF extraction

How do you handle a negative GCF when grouping terms?

• None of the above

• Multiply all terms by -1

• Extract the negative to match signs

• Ignore the negative sign

What does the teacher suggest to do if there is no apparent GCF?

• Use a GCF of 0

• Skip the problem

• Use a GCF of 1

• Redo the calculations

What is the correct factored form when the GCFs are 8m and 7p?

• 8m + 7p times m + p

• 8m times 7p

• m + p times 8 + 7

• 8m + 7p times p + m