MATHEMATICS HIGH SCHOOL

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

Answers

Answer 1

Answer:

Answer:

Quotient: $2x^2+x-3$

Please see the attachment.

Step-by-step explanation:

Given: $(2x^4-3x^3-3x^2+7x-3)/ (x^2-2x+1)$

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 $2x^2+x-3$

Answer 2

Answer:

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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Thelma thrifty went to her bank. she had a balance of $1,209.76 in her savings account. she withdrew $131.44 and the teller credited her account with $6.67. what is her new balance?

Answers

Based on the given information above, Thelma had a balance of $1,209.76 and withdrew $131.44, so the remaining would be $1,708.32. But the teller credited her account with $6.67. Credited this means that the money is into your account. So, her new balance would be therefore, $1,084.99. Hope this answers your question.

Answer:

her new balance is $1,084.99

Find the quotient by doing long division and show work