To solve for h, first divide both sides by 3x. 3x (x-2) h 3x-3x-33x² +54x 3x 3x (x – 2)h = x - x - 11x+ 18 Now solve for h using synthetic division. h = x- x² – 11lx+ 18 x - 2 %3D 2 1 -1 -11 18 2 2-18 1 1 -9 The quotient isx² + x- 9 and the remainder is 0. The height of the solid is x +x-9. Try It # 3 The area of a rectangle is given by 3x+ 14x - 23x + 6. The width of the rectangle is given by x + 6. Find an expression for the length of the rectangle.

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Can someone please show their work on this using synthetic division? I have no idea how Exactly to format this.
To solve for h, first divide both sides by 3x.
3x (x-2) h 3x-3x-33x² +54x
%3D
3x
3x
(x- 2)h = x- x- 11x+ 18
Now solve for h using synthetic division.
h = x-x² – 11x+ 18
x- 2
1
-1
-11
18
2 -18
1
1
-9
The quotient is x +x-9 and the remainder is 0. The height of the solid is x + x-9.
Try It #3
The area of a rectangle is given by 3x' + 14x- 23x + 6. The width of the rectangle is given by x + 6. Find an expression
for the length of the rectangle.
Access these online resources for additional instruction and practice with polynomial division.
• Dividing a Trinomial by a Binomial Using Long Division (http://openstaxcollege.org//dividetribild)
• Dividing a Polynomial by a Binomial Using Long Division (http://openstaxcollege.org//dividepolybild)
Ex 2: Dividing a Polynomial by a Binomial Using Synthetic Division (http://openstaxcollege.org//dividepolybisd2)
Ex 4: Dividing a Polynomial by a Binomial Using Synthetic Division (http://openstaxcollege.org//dividepolybisd4)
Transcribed Image Text:To solve for h, first divide both sides by 3x. 3x (x-2) h 3x-3x-33x² +54x %3D 3x 3x (x- 2)h = x- x- 11x+ 18 Now solve for h using synthetic division. h = x-x² – 11x+ 18 x- 2 1 -1 -11 18 2 -18 1 1 -9 The quotient is x +x-9 and the remainder is 0. The height of the solid is x + x-9. Try It #3 The area of a rectangle is given by 3x' + 14x- 23x + 6. The width of the rectangle is given by x + 6. Find an expression for the length of the rectangle. Access these online resources for additional instruction and practice with polynomial division. • Dividing a Trinomial by a Binomial Using Long Division (http://openstaxcollege.org//dividetribild) • Dividing a Polynomial by a Binomial Using Long Division (http://openstaxcollege.org//dividepolybild) Ex 2: Dividing a Polynomial by a Binomial Using Synthetic Division (http://openstaxcollege.org//dividepolybisd2) Ex 4: Dividing a Polynomial by a Binomial Using Synthetic Division (http://openstaxcollege.org//dividepolybisd4)
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