Question

If B = 2 and BAG = 10, then BOX =

Answer 1

Answer:

41

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Answer 2

Step-by-step 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