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spayn [35]
2 years ago
5

What is the quotient (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

Mathematics
2 answers:
MrRa [10]2 years ago
8 0

Answer:

Quotient: 2x^2+x-3

Please see the attachment.

Step-by-step explanation:

Given: (2x^4-3x^3-3x^2+7x-3)\div (x^2-2x+1)

We are given rational expression and need to find quotient.

Using long division method to find the quotient.

First we get rid of 2x^4 by x^2

x^2-2x+1 ) 2x^4-3x^3-3x^2+7x-3 ( 2x^2+x-3

                 -2x^4+4x^3-2x^2

                              x^3-5x^2+7x

                               -x^3+2x^2-x

                                      -3x^2+6x-3

                                      3x^2-6x+3

                                              0

Hence, The quotient of division is 2x^2+x-3

Nat2105 [25]2 years ago
5 0

Here you have two polynomials:

1. The dividend - f(x)=2x^4 - 3x^3 - 3x^2 + 7x - 3

2. The divisor - g(x)=x^2 - 2x + 1.

Since divisor is perfect square g(x)=x^2 - 2x + 1=(x-1)^2, you should check what is the quotient after division f(x) by (x-1):

f(x)=2x^4 - 3x^3 - 3x^2 + 7x - 3=(x-1)(2x^3-x^2-4x+3)=(x-1)(x-1)(2x^2+x-3)=(x-1)^2(2x^2+x-3)=g(x)(2x^2+x-3).

Then the quotient is 2x^2+x-3.

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To find the percentage decrease, first of all we need to find the decrease in the number of home runs and then we will divide with the number of home runs in 2004 and then finally will multiply the result with 100 to get the percentage decrease.

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