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.

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## 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?**

- 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.
- Determine the number of terms in the polynomial. a. …
- Look for factors that can be factored further.
- 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?

- Step 1: Identify the GCF of the polynomial.
- Step 2: Divide the GCF out of every term of the polynomial. …
- Step 1: Identify the GCF of the polynomial. …
- Step 2: Divide the GCF out of every term of the polynomial.
- Step 1: Identify the GCF of the polynomial. …
- 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.