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7.1-7.5 QUIZ: Multiplying and Factoring Polynomials

Last updated over 1 year ago
11 questions
Multiplying & Factoring Polynomials
4
A rectangle with positive area has length represented by the expression 4a2+7a-2 and width by 2a2+3a. Write expressions in terms of a for the perimeter and area of the rectangle. Give your answers in standard polynomial form and show your work.

Perimeter: _______

Area: _______
3

Multiply, then subtract the polynomials.

4
Factor out the greatest common factor of each expression.

a. 50x-80y
_______

b. 6ab-36a2b3
_______
4
Factor each of the following differences of squares completely.

a. 25w2-16z2
_______

b. f2-100
_______
4
Factor each trinomial.
a. x2 + 11x + 24
_______

b. a2 + 3a + 2
_______
4
Factor each trinomial.

a. c2 + 2c – 35
_______

b. z2 + 9z – 36
_______
4
Factor each trinomial.

a. x2 – 5x + 6
_______

b. x2 – 14x + 49
_______
6
Factor each polynomial fully.

a. 4x2 + 20x + 24
_______

b. 9x2 + 90x – 99
_______
4
Find the length and width of a rectangle whose area can be represented by the expression (w2-25)in2.

Length (longer side): _______

Width (shorter side): _______
Extra Credit!
0

Extra Credit

Graph the equation 6x+4y=12 on the xy-coordinate plane.

Identify the x-intercept of the graph and the y-intercept of the graph.

  • Click the graph tab.
  • Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
0

EXTRA CREDIT!

A random sample of 200 teenagers participated in a taste test. Each teenager sampled four choices of fruit drink (labeled A, B, C and D), and then were asked to pick a favorite. The table shows the results of this taste test.


Based on the information given, which of the given statements are true?
Select all that apply.