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

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Unformatted text preview: 1 Question 1 Simplify as much as possible the expression ( x 4 y 1 / 4 ) 1 / 2 y 1 / 2 . Answer : x 2 y- 3 / 8 1 point Question 2 Simplify x + 1 x − 2 + x + 1 x − 3 + − 9 x + 21 x 2 − 5 x + 6 . Answer : 2( x − 4) ( x − 3) 1 point Question 3 If y = 4 radicalbigg 2 x + 3 5 , write x as a fuction of y . Answer : x = (5 y 4 − 3) / 2 1 point Question 4 Using long division, write x 3 + 2 x 2 + x + 3 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 + 1 x +2 Question 5 Find the roots of the polynomial x 2 + 2 x − 2 (i.e. solve x 2 + 2 x − 2 = 0). 1 point Answer : − 1 ± √ 3 Question 6 Sketch the graph of y = x 2 + 2 x − 2. Don’t forget to indicate the intersection with the axes. 1 point Answer : x y − 2 − 1 + √ 3 − 1 − 3 − 1 − √ 3 Question 7 Find the value of c in the polynomial 4 x 2 − 12 x + c such that the roots are equal. 1 point Answer : c = 9 Question 8 Find the values of x...
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diagnostic test 1 - 1 Question 1 Simplify as much as...

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