SOLUTION: PLEASE HELP ME I AM STUCK ON IT
BY HOW MUCH DOES THE SUM OF THE ROOTS OF THE EQUATION (X+1)(X-3)=0 EXCEED THE PRODUCT OF ITS ROOTS?
(A)1
(B)2
(C)3
(D)4
(E)5
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Question 925687: PLEASE HELP ME I AM STUCK ON IT
BY HOW MUCH DOES THE SUM OF THE ROOTS OF THE EQUATION (X+1)(X-3)=0 EXCEED THE PRODUCT OF ITS ROOTS?
(A)1
(B)2
(C)3
(D)4
(E)5
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the factors are (x+1) * (x-3) = 0
set each of these factors equal to 0 and solve for x to get:
x - 3 = 0 results in x = 3
x + 1 = 0 results in x = -1
the roots are:
x = -1 or x = 3
the sum of the roots are 3 - 1 = 2
the product of the roots are 3 * -1 = -3
the sum of the roots minus the product of the roots = 2 - (-3) = 2 + 3 = 5.
the sum of the roots exceeds the product of the roots by 5.
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