diagnostic test 3 - 1 Question 1 1 point Simplify as much...

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1 Question 1 Simplify as much as possible the expression ( x 3 y 1 / 2 ) 1 / 3 y 1 / 3 . Answer : xy - 1 / 6 1 point Question 2 Simplify x 3 x 2 + x 3 x + 3 + 3 x + 11 x 2 + x 6 . Answer : 2( x 2) ( x + 3) 1 point Question 3 If y = 3 r 2 x + 5 7 , write x as a fuction of y . Answer : x = (7 y 3 5) / 2 1 point Question 4 Using long division, write x 3 + 3 x 2 3 x + 2 in the form p ( x )+ r ( x ) /q ( x ) with the degree of r smaller 1 point than the degree of q . Answer : x 2 + x 2 + 1 x +2 Question 5 Find the roots of the polynomial x 2 + 4 x + 1 (i.e. solve x 2 + 4 x + 1 = 0). 1 point Answer : 2 ± 3 Question 6 Sketch the graph of y = x 2 + 4 x + 1. Don’t forget to indicate the intersection with the axes. 1 point Answer : 2 3 1 2 3 2 + 3 y x Question 7 Find the value of c in the polynomial 4 x 2 20 x + c such that the roots are equal. 1 point Answer : c = 25 Question 8 Find the values of x such that x
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This note was uploaded on 04/08/2010 for the course MATH MAT1330 taught by Professor Rad during the Spring '10 term at University of Ottawa.

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diagnostic test 3 - 1 Question 1 1 point Simplify as much...

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