Factor x2 + 7x – 8.
Hint
Find two numbers that multiply to -8 and add to 7.
Answer
(x – 1)(x + 8)
Factor x2 + 9x + 20.
The product of the numbers we factor with needs to be 20 and the sum needs to be 9.
(x + 5)(x + 4)
Factor x2 – 5x – 6.
The numbers need to multiply to -6 and add to -5. You could try to use 2 and 3, but we're telling you, it's not gonna work.
(x – 6)(x + 1)
Factor 3x2 – 3x – 36.
Pull out a GCF first. Then factor what’s left. Just don’t forget about it at the end of the problem.
3(x + 3)(x – 4)
Factor 4x3 + 44x2 + 120x.
Pull out a GCF first. Look for a number and variable combo that's common to all terms.
4x(x + 5)(x + 6)
Factor x2 + 5x + 4.
What numbers multiply to 4 and add to 5? They'll probably be important at some point here.
(x + 4)(x + 1)
Factor 2x2 + 13x + 15.
The coefficients on the x terms have to multiply to 2x2, while the constants have to multiply to 15.
(x + 5)(2x + 3)
Factor 3x2 + 3x – 18.
Pull out a GCF first. Just don’t lose it while you’re factoring the rest of the expression.
3(x – 2)(x + 3)
Factor -6x2 + 5x – 1.
The coefficients on the x terms have to multiply to -6x2 and the constants have to multiply to -1.
(2x – 1)(-3x + 1)
Factor 40x2 – 46x + 12.
Pull out a GCF first. That would be a 2. Then factor what’s left. For the coefficients on the x terms, might we suggest a 4 and a 5?
2(4x – 3)(5x – 2)
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