1: What divides evenly into 3y2 – 21y + 36?
5: Start by factoring out 4 from each term.
12: To split -31 into two numbers that multiply to equal a positive product, both numbers must be negative.
14: To split the middle term into two terms that multiply to equal a negative product, one must be positive and one must be negative.
15: See the hint for #5 and for #14.
23: 2(x2 – 2x – 24) would equal 2x2 – 4x – 48, not 2x2 – 2x – 24.
26: Factor the expression, and then set each factor equal to zero.
29: The value of y is 0 where the graph crosses the x-axis.
40: If two factors multiplied together equals zero, then one of the factors must equal zero.