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diagnostic test 2

# diagnostic test 2 - 1 Question 1 1 point Simplify as much...

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1 Question 1 Simplify as much as possible the expression ( x 4 y 1 / 2 ) 1 / 4 y 1 / 2 . Answer : xy - 3 / 8 1 point Question 2 Simplify x + 3 x 2 + x + 1 x 3 + x 1 x 2 5 x + 6 . Answer : 2( x + 2) ( x 2) 1 point Question 3 If y = 4 r 3 x 2 5 , write x as a fuction of y . Answer : x = (5 y 4 2) / 3 1 point Question 4 Using long division, write x 3 + 2 x 2 + x 1 x + 2 in the form p ( x ) + r ( x ) /q ( x ) with the degree of r 1 point smaller than the degree of q . Answer : x 2 + 1 3 x +2 Question 5 Find the roots of the polynomial x 2 + 2 x + 1 (i.e. solve x 2 + 2 x + 1 = 0). 1 point Answer : 1 ± 2 Question 6 Sketch the graph of y = x 2 + 2 x + 1. Don’t forget to indicate the intersection with the axes. 1 point Answer : y 1 x 1 2 1 + 2 1 4 Question 7 Find the value of c in the polynomial 9 x 2 12 x + c such that the roots are equal. 1 point Answer : c = 4 Question 8 Find the values of x such that x 2 6

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diagnostic test 2 - 1 Question 1 1 point Simplify as much...

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