Factorising An Equation

This is an MCQ-based quiz for GRE on How To Factor An Equation.

Factoring is the process of finding the factors: Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.

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Solve for x: (–3x + 3) / (x – 1) = x

No solution possible –3 –3 and 1 5

x^2 – 9X + 18 = 0 Find x

x = 3, 9 x = 3, –6 x = –3, 6 x = –3, –6 x = 3, 6

25x^2 – 36y^2 can be factored into:

(5x + 6y)(5x + 6y) 5 * 6 * (x^2 – y^2) (5x – 6y)(5x + 6y) cannot be factored (5x – 6y)(5x – 6y)

Factor 3u^4 – 24uv^3.

3u(u – 2v)(u + 2v) 3u[u^3 – (2v)^3] 3u(u^3 – 8v^3) 3u(u – 2v)(u^2 + 2uv + 4v^2) 3u(u – 2v)(u^2 – 2uv – 4v^2)

Simplify z^3−z^2−9z+9.

(z−3)(z+1)(z−1)

(z−3)(z−3)(z−1)

(z−3)(z+3)(z−1)

(z−3)(z+3)

(z+3)(z+3)(z+1)

Factor . y^2-4

(y+2)(y+2)

y(y−4)

(y+2)(y−2)

None of the other answers are correct.

(y−2)(y−2)

Solve for x.

x^2−3x−28=0

−28,−31

−7,4

14,−11

7,−4

28,31

Quiz/Test Summary

Title: Factorising An Equation

Questions: 7

Contributed by:

Diego Wed, May 18, 2022 03:27 PM UTC

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