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ano ba ang steps sa factoring polynomials at magbigay ng halimbawa?

Sagot :

Eg. Factor the polynomial x^2 + 7x + 12.

1st Step. Humanap ka ng lahat na possible factors ng CONSTANT, which in this case, is 12. The factors are:

4 x 3
-4 x -3
12 x 1
-12 x -1

2nd Step. ADD the factors na nakuha mo sa step 1.

4 + 3 = 7
-4 + (-3) = -7
12 + 1 = 13
-12 + (-1) = -13

3rd Step. Look at the SUMS and see which sum MATCHES THE COEFFICIENT in the second term which is 7x. Therefore yung factors are 4 and 3.

4th Step. Fill in the blanks. Follow the ff. format:

(x +/- ?)(x +/- ?)

Since both factors are positive, (x + ?)(x + ?) yung gagawin.

So...

x^2 + 7x + 12 = (x+4)(x+3)

REMEMBER THIS DOES NOT WORK FOR ALL POLYNOMIALS, BUT MOST. :)

Thank me! X)))