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Laabri

7.1-7.5 QUIZ: Multiplying and Factoring Polynomials

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Last updated about 2 years ago
11 Nsɛmmisa
Multiplying & Factoring Polynomials
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Extra Credit!
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1.

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:

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2.

Multiply, then subtract the polynomials.

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3.

Factor out the greatest common factor of each expression.

a. 50x-80y

b. 6ab-36a2b3

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4.

Factor each of the following differences of squares completely.

a. 25w2-16z2

b. f2-100

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5.

Factor each trinomial.

a. x2 + 11x + 24

b. a2 + 3a + 2

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6.

Factor each trinomial.

a. c2 + 2c – 35

b. z2 + 9z – 36

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7.

Factor each trinomial.

a. x2 – 5x + 6

b. x2 – 14x + 49

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8.

Factor each polynomial fully.

a. 4x2 + 20x + 24

b. 9x2 + 90x – 99

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9.

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):

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10.

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.

  • Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
  • Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
  • Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.
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11.

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.