Factoring Fun

What would be the first step to solve the equation x²-20x = -51 by factoring?

• Factor by finding two numbers whose product is -51 and sum is -20.
• Put in standard form by adding 51 to both sides.
• Put in standard form by subtracting 51 from both sides.
• Set x² = -51 and -20x = -51, and solve both equations for x.

What would be the first step to solve the equation 5x² - 20x + 25 = 0 by factoring?

• Put in standard form.

• Factor by finding two number whose product is 25 and sum is -20.

• Subtract 25 from both sides.

• Factor out the GCF; which is 5.

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• B

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• D

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• D

What are the solutions to this equation? (x-3)(x+2)=0

• x=3,-2
• x=-3,2
• x=2,3
• x=3,2

• Factor

• Subtract 6 from both sides to set the equation equal to 0

• Set each factor equal to 0

• Combine like terms

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

What are the x-intercepts for the following:

(2x - 2)(5x + 5) = 0

• x = -1

• x = -1 or x = 1

• x = 1

• x = -2 or x = 5

What is the standard form for a Quadratic?

• ax²+ bx = - c
• x = -b ± √(b²-4ac) / 2a
• ax² + bx + c
• y = mx + b