Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Factor Completely:

2x^2−21x+49


2x^2+11x+15


2x^2−24x+64


Sagot :

(2x - 7)(x - 7)

(2x + 5)(x + 3)

(2x - 8)(x - 8)

These problems require you to deduce which numbers, when multiplied will equal the last number. Then, which of those two numbers should be eventually multiplied by 2. These problems are sort of intuitive once you done a couple, so do some! 
1.[tex]2x^{2} - 21x + 49[/tex]
   [tex]2x^{2} - 14x - 7x + 49[/tex]
   [tex]2x(x) - 2x(7) - 7(x) + 7(7)[/tex]
   [tex]2x(x - 7) - 7(x - 7)[/tex]
   [tex](2x - 7)(x - 7)[/tex]

2.[tex]2x^{2} + 11x + 15[/tex]
   [tex]2x^{2} + 6x + 5x + 15[/tex]
   [tex]2x(x) + 2x(3) + 5(x) + 5(3)[/tex]
   [tex]2x(x + 3) + 5(x + 3)[/tex]
   [tex](2x + 5)(x + 3)[/tex]

3.[tex]2x^{2} - 24x + 64[/tex]
   [tex]2(x^{2}) - 2(12x) + 2(32)[/tex]
   [tex]2(x^{2} - 12x + 32)[/tex]
   [tex]2(x^{2} - 8x - 4x + 32)[/tex]
   [tex]2(x(x) - x(8) - 4(x) + 4(8)[/tex]
   [tex]2(x(x - 8) - 4(x - 8))[/tex]
   [tex]2(x - 4)(x - 8)[/tex]