Which shows the factored form of x2 – 12x – 45?

A new academics question and answer asked over students to declare what they think is the most important important concern for a student to do to be able to accomplished success. Out of the many responses, one that that stood out was practice. People who are certainly successful do not become successful by being born. They work hard and dedication their lives to succeeding. This is how you can get your goals. right below some question and answer examples that you may possibly utilise to enhance your knowledge and gain insight that will help you to maintain your school studies.

Question:

Which shows the factored form of x2 – 12x – 45?

(x + 3)(x – 15)
(x – 3)(x – 15)
(x + 3)(x + 15)
(x – 3)(x + 15)

Answer:

Hi!

(x+a)·(x+b) = x²+xa+xb+ab = x²-12x-45

x² = x²
xa+xb = (a+b)x = -12x ⇒ (a+b) = -12
ab = -45

When (a+b) = -12 and ab = -45?

+3-15 = -12 and (+3)(-15) = -45 
-3-15 = -18 and (-3)(-15) = +45
+3+15 = +18 and (+3)(+15) = +45
-3+15 = +12 and (-3+15) = -45

Answer:

(x+3)(x-15) 

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