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21.Factorize : x² +10x+21
22.Factorize: x² -2x-35
23.Solve : 2x+28 = 9x-56​

Sagot :

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Step-by-step explanation:

21.

  • x²+10x+21
  • x²+3x+7x+21
  • x(x+3)+7(x+3)
  • (x+3)(x+7)

22.

  • x²-2x-35
  • x²-5x+7x-35
  • x(x-5)+7(x-5)
  • (x-5)(x+7)

23.

  • 2x+28=9x-56
  • 28+56=9x-2x
  • 84=7x
  • x=84/7
  • x=12

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Answer:

21. (x+7)(x+3)

22. (x-7)(x+3)

23. 12

Step-by-step explanation:

X^2+10x+21

(X+7)(x+3)

(We know that 7*3 is equal to 21 and that 7+3= 10)

Now try the same thing for 22.

(X-7)(X+5)

(-7*5= -35 . and -7+5=-2)

23. Use SPOE to get like terms to one side:

-7x=-84

Then use DPOE to find the value of X

x=12

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