Worksheet on "Factoring two termed quadratic by method of Common Factors"

Question 1)

a)

ax2 + yx

Answer: x(ax +
y)

b)

3x2 + 9x

Answer: 3x(x +
3)

c)

9x2 + 91

Answer: Prime expression.
Cannot be factored

d)

25x2 - 26x

Answer: x(25x -
26)

Question 2)

a)

Answer:

b)

(√2 - √3)x2 + (√3 - √2)x

Answer: x(√2
- √3)(x - 1)

c)

√abx2 + abx

Answer: √abx(x
+ √ab)

d)

x2 + y2

Answer: Prime expression; Cannot be
factored

Question 3)

a)

ax2 + ay

Answer: a(x² + y)

b)

(5 + a)x2 + 5 + a

Answer: (5 + a)(x² + a)

c)

(a + b)2 + (a + b)x

Answer: (a + b)(a + b + x)

d)

5x2 + 61

Answer: Prime expression, cannot be
factored.

Question 4)

a)

Answer:

b)

Answer:

c)

cx2 - cx + c2

Answer: c(x(x - 1) + c)

d)

√3x2 + √2

Answer: Prime expression, cannot be
factored.

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