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More lessons for factoring and other Grade 9 topics

### Find the Greatest Common Factor - GCF

**How to factor trinomials with a negative leading coefficient?**

Factor trinomial with negative in front.

Example:

Factor: -30x^{2} + 7x + 4

**How to factor a trinomial with negative leading coefficient?**

Example:

Factor: -6x^{2} - x + 7

**How to find common factors as a first step in factoring a quadratic equation?**

Factor: 5w^{2} - 20w - 160

**How to factor the greatest common factor (gcf) from a polynomial?**

Factor: 4x^{3} - 2x^{2} + 6x

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More lessons for factoring and other Grade 9 topics

When factoring trinomials, the first step would be to try to find the greatest common factor (GCF). We can then pull out the GCF by using the distributive property in reverse.

We can factor trinomials by first looking for factors that are common (that is the GCF)

* Example: *

Factor the following trinomials:

a) *ad + dc + df *

b) 2*pq *+ 6*p*^{2}*q *- 4 *p*^{3}*q*

* Solution: *

a) *ad + dc + df * = *d*(*a + c + f *) ← extract GCF *d
*

b) 2*pq *+ 6*p*^{2}*q *– 4*p*^{3}*q* = 2*pq*(1 + 3*p* – 2*p*^{2}) ← extract GCF 2*pq*

Factor trinomial with negative in front.

Example:

Factor: -30x

Example:

Factor: -6x

Factor: 5w

Factor: 4x

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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