Question

Question 1
Factor x2 – 21x – 100
a. prime
b. (x – 50)(x + 2)
c. (x + 4)(x – 25)
d. (x + 25)(x – 4)

QUESTION 2
Factor x2 + 5x + 6.
a.(x + 2)(x + 3)
b. (x + 1)(x + 6)
c. (x + 1)(x + 5)
d. prime

QUESTION 3
Factor x2 + 7x + 12.
a. (x + 3)(x + 4)
b. (x + 1)(x + 7)
c. prime
d. (x + 2)(x + 6)

QUESTION 4
Factor 6x2 – 7x – 4.
a. (2x + 2)(3x – 2)
b. (6x + 2)(x – 2)
c. The polynomial is prime.
d. (6x – 4)(x + 1)

QUESTION 5
Factor 2x2 + 5x + 3.
a. (2x + 1)(x + 3)
b. (2x + 3)(x + 1)
c. The polynomial is prime.
d. (2x + 5)(x + 1)

Answer 1

It's probably easiest just to multiply the MC choice out until you find the solution. BUT that won't help you learn to factor.

Answer 2

If you multiply and keep track of there the term come from, then you know what to look for when factoring. For example with \[(x+1)(x-2) = x^2-x-2\] the x^2 came from the first terms in the brackets x*x = x^2, the (-1) part of -x came from adding the last parts of the brackets, and finally the -2 came from (+1)*(-2) multiplying that last terms in the brackets.