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Lesson Worksheet: Factoring Trinomials Mathematics

In this worksheet, we will practice factoring trinomials into a product of two binomials.

Q1:

Factor the expression 𝑥(𝑥+3)+2(𝑥+3) fully.

  • A2𝑥(𝑥+3)
  • B𝑥(𝑥+3)
  • C(𝑥+2)(𝑥+3)
  • D𝑥(𝑥+2)
  • E(𝑥+2)(𝑥+3)

Q2:

Factorize 12𝑥+9+𝑥(4𝑥+3) fully.

  • A(4𝑥+3)(𝑥+3)
  • B(3𝑥+4)(𝑥+3)
  • C(4𝑥+3)(𝑥3)
  • D(4𝑥3)(𝑥+3)
  • E(3𝑥4)(𝑥+3)

Q3:

Factor 𝑥8𝑥20.

  • A(𝑥+2)(𝑥+10)
  • B(𝑥10)(𝑥+2)
  • C(𝑥2)(𝑥10)
  • D(𝑥+4)(𝑥5)
  • E(𝑥4)(𝑥+5)

Q4:

Factorize fully 𝑥+𝑥+12.

  • A(𝑥+4)(𝑥+3)
  • B(𝑥4)(𝑥3)
  • C(𝑥+4)(𝑥3)
  • D(𝑥4)(𝑥+3)
  • E(𝑥+6)(𝑥2)

Q5:

Factorize fully 𝑥15𝑥𝑦+54𝑦.

  • A(𝑥9𝑦)(𝑥6𝑦)
  • B(𝑥18𝑦)(𝑥3𝑦)
  • C(𝑥+9𝑦)(𝑥+6𝑦)
  • D(𝑥+9𝑦)(𝑥6𝑦)

Q6:

Factorize fully 𝑥𝑦3𝑥𝑦108𝑦.

  • A𝑦(𝑥+9)(𝑥12)
  • B𝑦(𝑥36)(𝑥+3)
  • C𝑦(𝑥9)(𝑥+12)
  • D𝑦(𝑥9)(𝑥12)
  • E𝑥(𝑦+9)(𝑦+12)

Q7:

Factorize fully 6𝑥17𝑥+12𝑥.

  • A(6𝑥4)(𝑥3)
  • B𝑥(3𝑥+4)(2𝑥+3)
  • C𝑥(3𝑥4)(2𝑥+3)
  • D(3𝑥+4)(2𝑥3)
  • E𝑥(3𝑥4)(2𝑥3)

Q8:

Factorize fully 48𝑚+48𝑚𝑛15𝑛.

  • A34𝑚5𝑛4𝑚+𝑛
  • B34𝑚5𝑛4𝑚𝑛
  • C34𝑚𝑛4𝑚+5𝑛
  • D4𝑚𝑛4𝑚+5𝑛

Q9:

Factorize fully 12𝑥𝑦26𝑥𝑦+12𝑥𝑦.

  • A𝑥𝑦(12𝑥3)(𝑥2)
  • B𝑥𝑦(4𝑥+3)(3𝑥2)
  • C2𝑦𝑥(2𝑦3)(3𝑦2)
  • D2𝑥𝑦(𝑦3)(6𝑦2)
  • E2𝑥𝑦(2𝑦+3)(3𝑦+2)

Q10:

Using factorization, find, in terms of 𝑥, the dimensions of a rectangle given that its area is 5𝑥+12𝑥+7 cm2, and then find its perimeter when 𝑥=4.

  • A(5𝑥1) cm and (𝑥+7) cm, 60 cm
  • B(5𝑥+7) cm and (𝑥+1) cm, 64 cm
  • C(5𝑥7) cm and (𝑥+1) cm, 36 cm
  • D(5𝑥1) cm and (𝑥7) cm, 32 cm

This lesson includes 28 additional questions and 261 additional question variations for subscribers.

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