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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).
Learn more about polynomials here:
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Answer:
1/5, 1/6, 1/7, 1/8
Step-by-step explanation:
The formula for the sequence is (n+3)!/ (n+4)!
The first terms uses n=1
a1 = (1+3)!/ (1+4)! = 4!/5! = (4*3*2*1)/(5*4*3*2*1) = 1/5
The first terms uses n=2
a2 = (2+3)!/ (2+4)! = 5!/6! = (5*4*3*2*1)/(6*5*4*3*2*1) = 1/6
The first terms uses n=3
a3 = (3+3)!/ (3+4)! = 6!/7! = (6*5*4*3*2*1)/(7*6*5*4*3*2*1) = 1/7
The first terms uses n=4
a4 = (4+3)!/ (4+4)! = 7!/8! = (7*6*5*4*3*2*1)/(8*7*6*5*4*3*2*1) = 1/8
So for the first problem it would be the first solution you see there, and for the second problem it would be the last answer.
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Answer:
I'd say both b and d are functions. Niether one has a repeating x value which makes them functions.
