You can check your factoring by multiplying them all out to see if you get the original expression. If you do, your factoring is correct; otherwise, you might want to try again.

## How do you check your result after factoring a polynomial?

You can check your factoring by multiplying them all out to see if you get the original expression. If you do, your factoring is correct; otherwise, you might want to try again. I hope that this was helpful.

What do you check for first when factoring?

1. Check for common factors. If the terms have common factors, then factor out the greatest common factor (GCF) and look at the resulting polynomial factors to factor further.
2. Determine the number of terms in the polynomial. a. …
3. Look for factors that can be factored further.
4. Check by multiplying.

### What property do you use to check your work when factoring?

We can use the distributive property to factor out this common factor. Since the polynomial is now expressed as a product of two binomials, it is in factored form. We can check our work by multiplying and comparing it to the original polynomial.

What are the 6 types of factoring?

• Greatest Common Factor (GCF)
• Grouping Method.
• Sum or difference in two cubes.
• Difference in two squares method.
• General trinomials.
• Trinomial method.

### What question should you ask yourself first when factoring polynomials?

As you start to factor a polynomial, always ask first, “Is there a greatest common factor?” If there is, factor it first. You may also read, How do you checkerboard a garage floor?

### What is the factoring method?

Factoring is the process by which we go about determining what we multiplied to get the given quantity. … A common method of factoring numbers is to completely factor the number into positive prime factors. A prime number is a number whose only positive factors are 1 and itself. Check the answer of How do you chisel a door strike plate?

### How can you use the distributive property to check your work when factoring answer?

The Distributive Property applies multiplication to an existing addition statement. It means that a number outside the parentheses of an addition problem can be multiplied by each number inside the parentheses. Or in the opposite case, a common factor can be factored out and written outside the parentheses.

### What are all the factors of 72?

• Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
• Negative Factors of 72: -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -36 and -72.
• Prime Factors of 72: 2, 3.
• Prime Factorization of 72: 2 × 2 × 2 × 3 × 3 = 23 × 32
• Sum of Factors of 72: 195.

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### What are the 7 factoring techniques?

• Factoring out the GCF.
• The sum-product pattern.
• The grouping method.
• The perfect square trinomial pattern.
• The difference of squares pattern.

### Which pair of numbers has a GCF of 6?

The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.

### How do you teach factoring?

After kids learn multiplication, a typical 4th grade math curriculum then dives into factors and multiples. Factors are what numbers can be multiplied together to so that they make another number (e.g., 1, 2, 3, and 6 are factors of 6).

### How do you simplify polynomials?

Polynomials can be simplified by using the distributive property to distribute the term on the outside of the parentheses by multiplying it by everything inside the parentheses. You can simplify polynomials by using FOIL to multiply binomials times binomials.

### How do you factor polynomials step by step?

1. Step 1: Identify the GCF of the polynomial.
2. Step 2: Divide the GCF out of every term of the polynomial. …
3. Step 1: Identify the GCF of the polynomial. …
4. Step 2: Divide the GCF out of every term of the polynomial.
5. Step 1: Identify the GCF of the polynomial. …
6. Step 2: Divide the GCF out of every term of the polynomial.

### How many terms should you have to consider factoring by grouping?

In some cases there is not a GCF for ALL the terms in a polynomial. If you have four terms with no GCF, then try factoring by grouping.