Question

One factor of the polynomial is . which expression represents the other factor, or factors, of the polynomial?

Answer 1

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One factor of a polynomial is (x+1) . which expression represents the other factor, or factors, of the polynomial 2 x² + 3 x + 1 ?

We get that if one factor of the polynomial 2 x² + 3 x + 1 is (x+1), then the other factor is (2x+1).

Factor means that we have to split an expression into multiple values and make the power of the variable linear.

For a quadratic equation, there will be 2 factors.

We have the polynomial

2 x² + 3 x + 1

Using middle term splitting, we get that:

= 2 x² + 2 x + x + 1

Taking common factor:

= 2 x ( x + 1) + 1 (x + 1)

= (2 x + 1)( x + 1)

Therefore, we get that if one factor of the polynomial 2 x² + 3 x + 1 is (x+1), then the other factor is (2x+1).

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Answer 2

Answer:

One factor of the polynomial is (x+1) . which expression represents the other factor, or factors, of the polynomial 2x^2 + 3x+1?

Factors means splitting one value in multiplicative values like if we take an equation like 2x^2 + 3x + 1

Then we can divided these equation in two parts like

2X^2 + 3x +1

= 2x^2 + 2x+x+1

= 2x^2+x+2x+1

=x(2x+1)+1(2x+1)

= (2x+1)(x+1)

So if again we multiply these two factor it will give 2x^2+3x+1 so form here we can say that (2x+1) and (x+1) are the two factors of 2x^2 + 3x+ 1

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Question: One factor of a polynomial is (x+1) . which expression represents the other factor, or factors, of the polynomial 2x^2 + 3x + 1 ?