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Read the following passage and answer th...

Read the following passage and answer the questions that follows :
A teacher told 10 students to write a polynomial on the black board. Students wrote
`{:(1., x^(2)+2,,6., x-3),(2.,2x+3,, 7., x^(4)+ x^(2)+1), (3., x^(3)+ x^(2)+1,,8.,x^(2)+ 2x+1),(4., x^(3)+ 2x^(2)+1,,9., 2x^(3)-x^(2)),(5.,x^(2)-2x+1,,10.,x^(4)-1):}`
(i) How many students wrote cubic polynomial
(ii) Divide the polynomial `(x^(2)+ 2x+1)` by `(x+1)`.

Text Solution

Verified by Experts

(i) 3 Students
(ii) `(x^(2) + 2x+ 1)/(x+1)`
`= ((x+1)^(2))/(x+1) = x+1`
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