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Describe the structure of a typical flower with a well-labelled diagram. |
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Answer» Explanation: The first term is, 4a2 its coefficient is 4 . The middle term is, -13a its coefficient is -13 . The last term, "the constant", is +10 Step-1 : Multiply the coefficient of the first term by the constant 4 • 10 = 40 Step-2 : FIND two factors of 40 whose sum EQUALS the coefficient of the middle term, which is -13 . -40 + -1 = -41 -20 + -2 = -22 -10 + -4 = -14 -8 + -5 = -13 That's it Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and -5 4a2 - 8a - 5a - 10 Step-4 : Add up the first 2 TERMS, pulling out like factors : 4a • (a-2) Add up the last 2 terms, pulling out COMMON factors : 5 • (a-2) Step-5 : Add up the four terms of step 4 : (4a-5) • (a-2) Which is the desired factorization |
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