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Factorize: 35x2 – 24x + 4 |
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Answer» STEP1:Equation at the end of step 1 ((5•7x2) - 24x) - 4STEP2:TRYING to factor by splitting the middle term 2.1 Factoring 35X2-24x-4 The first term is, 35x2 its coefficient is 35 .The middle term is, -24x its coefficient is -24 .The last term, "the constant", is -4 Step-1 : Multiply the coefficient of the first term by the constant 35 • -4 = -140 Step-2 : Find two factors of -140 whose sum equals the coefficient of the middle term, which is -24 . -140 + 1 = -139 -70 + 2 = -68 -35 + 4 = -31 -28 + 5 = -23 -20 + 7 = -13 -14 + 10 = -4 -10 + 14 = 4 -7 + 20 = 13 -5 + 28 = 23 -4 + 35 = 31 -2 + 70 = 68 -1 + 140 = 139 Observation : No two such factors can be found !!Conclusion : Trinomial can not be factoredFinal result : 35x2 - 24x - 4 |
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