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15x^2-x-28 |
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Answer» ((3•5x2) - x) - 28 = 0Step 2 :Trying to factor by splitting the middle term Factoring 15x2-x-28The first term is, 15x2 its coefficient is 15 .The middle term is, -x its coefficient is -1 .The last term, "the constant", is -28Step-1 : Multiply the coefficient of the first term by the constant 15 • -28 = -420Step-2 : Find two factors of -420 whose sum equals the coefficient of the middle term, which is -1 .Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -21 and 20 15x2 - 21x + 20x - 28Step-4 : Add up the first 2 terms, pulling out like factors : 3x • (5x-7) Add up the last 2 terms, pulling out common factors : 4 • (5x-7)Step-5 : Add up the four terms of step 4 : (3x+4) • (5x-7) Which is the desired factorizationEquation at the end of step 2 :(5x - 7) • (3x + 4) = 0 -21x and 20x me break karo..... 7/5 and -4/3 |
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