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2 years ago

Simplify 2x4 a_3 =16a÷8 1_a

Mathematics

1 answer:

melamori03 [73]2 years ago

3 0

Answer:

(a+2) (a-18)

Step-by-step explanation:

Factoring a2-16a-36

The first term is, a2 its coefficient is 1 .

The middle term is, -16a its coefficient is -16 .

The last term, "the constant", is -36

Step-1 : Multiply the coefficient of the first term by the constant 1 • -36 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -16 .

-36 + 1 = -35

-18 + 2 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 2

a2 - 18a + 2a - 36

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

a • (a-18)

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

2 • (a-18)

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

(a+2) • (a-18)

Which is the desired factorization

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Data given and notation

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We can replace in formula (1) the info given like this:

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Simplify 2x4 a_3 =16a÷8 1_a​

Simplify 2x4 a_3 =16a÷8 1_a