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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 ?
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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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