Question

in factoring a trinomial with a leading coefficient other than 1, the first step is to look for a common factor in each term and factor it out.


A.) True
B.) False

Answer 1

True

eg  2x^2 + 4x + 8

= 2(x^2 + 2x + 4)

Answer 2

The statement that, the first step is to look for a common factor in each term and factor it out is TRUE

Trinomials are expressions containing 3 terms. In factoring a trinomial with a leading coefficient other than 1, we need to;

• Look for the factors of both all the terms
• Find the factor common to the three terms

For instance, given the trinomial expression

2x³ + 5x² + 7x

Get the individual factors

2x³ = 2 × x × x × x

5x² = 5 × x × x

7x =  7 × x

From the factors, we can see that the common variable is x. Hence the statement that, the first step is to look for a common factor in each term and factor it out is TRUE

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