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Lesson: Dividing Polynomials by a Divisor of First Degree with No Remainder

Question Video: Simplifying Polynomials by Division to Express the Width of a Rectangle

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Worksheet: Dividing Polynomials by a Divisor of First Degree with No Remainder • 15 Questions

Q1:

Use polynomial division to simplify .

  • A
  • B
  • C
  • D
  • E

Q2:

Find the quotient when is divided by .

  • A
  • B
  • C
  • D
  • E

Q3:

Use polynomial division to simplify .

  • A
  • B
  • C
  • D
  • E

Q4:

The area of a triangle is cm2, and its base is m. Write an expression for its height.

  • A cm
  • B cm
  • C cm
  • D cm

Q5:

The area of a triangle is cm2, and its base is m. Write an expression for its height.

  • A cm
  • B cm
  • C cm
  • D cm

Q6:

The area of a triangle is cm2, and its base is m. Write an expression for its height.

  • A cm
  • B cm
  • C cm
  • D cm

Q7:

The area of a triangle is cm2, and its base is m. Write an expression for its height.

  • A cm
  • B cm
  • C cm
  • D cm

Q8:

Knowing that the length of a rectangle is and its area is , express the width of the rectangle algebraically.

  • A
  • B
  • C
  • D
  • E

Q9:

A rectangle has an area of cm2 and a width of cm. Find its length in terms of and its perimeter when .

  • AThe length is cm, and the perimeter is 54 cm.
  • BThe length is cm, and the perimeter is 126 cm.
  • CThe length is cm, and the perimeter is 34 cm.
  • DThe length is cm, and the perimeter is 15 cm.
  • EThe length is cm, and the perimeter is 30 cm.

Q10:

Knowing that the length of a rectangle is and its area is , express the width of the rectangle algebraically.

  • A
  • B
  • C
  • D
  • E

Q11:

A rectangle has an area of cm2 and a width of cm. Find its length in terms of and its perimeter when .

  • AThe length is cm, and the perimeter is 46 cm.
  • BThe length is cm, and the perimeter is 132 cm.
  • CThe length is cm, and the perimeter is 46 cm.
  • DThe length is cm, and the perimeter is 21 cm.
  • EThe length is cm, and the perimeter is 42 cm.

Q12:

Knowing that the length of a rectangle is and its area is , express the width of the rectangle as a polynomial in standard form.

  • A
  • B
  • C
  • D
  • E

Q13:

A rectangle has an area of cm2 and a width of cm. Find its length in terms of and its perimeter when .

  • AThe length is cm, and the perimeter is 48 cm.
  • BThe length is cm, and the perimeter is 95 cm.
  • CThe length is cm, and the perimeter is 48 cm.
  • DThe length is cm, and the perimeter is 18 cm.
  • EThe length is cm, and the perimeter is 36 cm.

Q14:

A rectangle has an area of cm2 and a width of cm. Find its length in terms of and its perimeter when .

  • AThe length is cm, and the perimeter is 56 cm.
  • BThe length is cm, and the perimeter is 160 cm.
  • CThe length is cm, and the perimeter is 40 cm.
  • DThe length is cm, and the perimeter is 16 cm.
  • EThe length is cm, and the perimeter is 32 cm.

Q15:

By factoring, find all the solutions to , given that is a factor of .

  • A , ,
  • B , ,
  • C , ,
  • D , ,
  • E , ,
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