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Identifying Factor

To factor a monomial, binomial and trinomial are to rewrite the equation into the product of two binomials. It means that we will rewrite the trinomial in the form (a + b) (a + c). It is important as fundamental skills in algebra in solving complex problems. You can factor out the polynomials using Greatest Common Factor

Greatest Common Factor

Greatest common Factor (GCF) of a set of numbers or varaibles that is the largest number possible factor of all those numbers.

Identify all the prime factors of each monomial. You can use continuous division

1. 18y

18y

÷ 2 | 18y

÷ 3 | 9y

÷ 3 | 3y

| y

Prime Factors: 2 • 3 • 3 • y

2. 25x

| 25x

÷ 5 | 25x

÷ 5 | 5x

| x

Prime Factors: 5 • 5 • x

3. 100y²

| 100y²

÷ 5 | 100y²

÷ 5 | 20y²

÷ 2 | 4y²

÷ 2 | 2y²

÷ y | y

Prime Factors: 2 • 2 • 5 • 5 • y • y

4. 64a3b2

| 64a³b²

÷ 2 | 64a³b²

÷ 2 | 32a³b²

÷ 2 | 16a³b²

÷ 2 | 8a³b²

÷ 2 | 4a³b²

÷ 2 | 2a³b²

÷ a | a²b²

÷ a | ab²

÷ a | b²

÷ b | b

Prime Factors: 2 • 2 • 2 • 2 • 2 • 2 • a • a • a • b • b

5. 343xy3

| 343xy³

÷ 7 | 343xy³

÷ 7 | 49xy³

÷ 7 | 7xy³

÷ x | xy³

÷ y | y²

÷ y | y

Prime Factors: 7 • 7 • 7 • x • y • y • y

Key Points on Factoring

For Monomial

• First, list down all the posible common factor of teach monomial.
• The greatest common factor is also the common monomial factor of set of monomial.

Polynomials

• First, think a factor for both first and last term.
• If all the sign of each terms are positive, the sign must be all positive for both binomial factor. For example, (x²+5x+6) = (x+2)(x+3).
• If the sign of first and last term of the trinomials are positive, the sign of the two binomial factor are both negative. For example, (x²-5x+6) = (x-2)(x-3).
• Apply the reveres FOIL method, in factoring for quadratic trinomials.
• Always check first the GCF of the first terms and last terms. This is the first step in factoring.
• Factors are always in written in lowest term.
• Don't forget to double check the factor.

Read more!

1.which of the following gives product of x2 +5x+4?

2.find the missing terms: (x+_)(3x+_)=3x

brainly.ph/question/17700241

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