Question

a²+a-72 factorise the algebaric expression
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Answer 1

STEP

1

:

Trying to factor by splitting the middle term

1.1 Factoring a2-a-72

The first term is, a2 its coefficient is 1 .

The middle term is, -a its coefficient is -1 .

The last term, "the constant", is -72

Step-1 : Multiply the coefficient of the first term by the constant 1 • -72 = -72

Step-2 : Find two factors of -72 whose sum equals the coefficient of the middle term, which is -1 .

-72 + 1 = -71

-36 + 2 = -34

-24 + 3 = -21

-18 + 4 = -14

-12 + 6 = -6

-9 + 8 = -1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 8

a2 - 9a + 8a - 72

Step-4 : Add up the first 2 terms, pulling out like factors :

a • (a-9)

Add up the last 2 terms, pulling out common factors :

8 • (a-9)

Step-5 : Add up the four terms of step 4 :

(a+8) • (a-9)

Which is the desired factorization

Final result :

(a + 8) • (a - 9)

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Answer 2

Answer:

(a+9)(a-8).....

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Step-by-step explanation:

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