Question

a2 - 3a - 54 factorization full explained​

Answer 1

Answer:

Factoring a2-3a-54

Factoring a2-3a-54 The first term is, a2 its coefficient is 1 .

Factoring a2-3a-54 The first term is, a2 its coefficient is 1 .The middle term is, -3a its coefficient is -3 .

Factoring a2-3a-54 The first term is, a2 its coefficient is 1 .The middle term is, -3a its coefficient is -3 .The last term, "the constant", is -54

Factoring a2-3a-54 The first term is, a2 its coefficient is 1 .The middle term is, -3a its coefficient is -3 .The last term, "the constant", is -54 Step-1 : Multiply the coefficient of the first term by the constant 1 • -54 = -54

Factoring a2-3a-54 The first term is, a2 its coefficient is 1 .The middle term is, -3a its coefficient is -3 .The last term, "the constant", is -54 Step-1 : Multiply the coefficient of the first term by the constant 1 • -54 = -54 Step-2 : Find two factors of -54 whose sum equals the coefficient of the middle term, which is -3 .

Factoring a2-3a-54 The first term is, a2 its coefficient is 1 .The middle term is, -3a its coefficient is -3 .The last term, "the constant", is -54 Step-1 : Multiply the coefficient of the first term by the constant 1 • -54 = -54 Step-2 : Find two factors of -54 whose sum equals the coefficient of the middle term, which is -3 . -54 + 1 = -53

Factoring a2-3a-54 The first term is, a2 its coefficient is 1 .The middle term is, -3a its coefficient is -3 .The last term, "the constant", is -54 Step-1 : Multiply the coefficient of the first term by the constant 1 • -54 = -54 Step-2 : Find two factors of -54 whose sum equals the coefficient of the middle term, which is -3 . -54 + 1 = -53 -27 + 2 = -25

Factoring a2-3a-54 The first term is, a2 its coefficient is 1 .The middle term is, -3a its coefficient is -3 .The last term, "the constant", is -54 Step-1 : Multiply the coefficient of the first term by the constant 1 • -54 = -54 Step-2 : Find two factors of -54 whose sum equals the coefficient of the middle term, which is -3 . -54 + 1 = -53 -27 + 2 = -25 -18 + 3 = -15

Factoring a2-3a-54 The first term is, a2 its coefficient is 1 .The middle term is, -3a its coefficient is -3 .The last term, "the constant", is -54 Step-1 : Multiply the coefficient of the first term by the constant 1 • -54 = -54 Step-2 : Find two factors of -54 whose sum equals the coefficient of the middle term, which is -3 . -54 + 1 = -53 -27 + 2 = -25 -18 + 3 = -15 -9 + 6 = -3

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 6

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 6 a2 - 9a + 6a - 54

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 6 a2 - 9a + 6a - 54Step-4 : Add up the first 2 terms, pulling out like factors :

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 6 a2 - 9a + 6a - 54Step-4 : Add up the first 2 terms, pulling out like factors : a • (a-9)

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 6 a2 - 9a + 6a - 54Step-4 : Add up the first 2 terms, pulling out like factors : a • (a-9) Add up the last 2 terms, pulling out common factors :

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 6 a2 - 9a + 6a - 54Step-4 : Add up the first 2 terms, pulling out like factors : a • (a-9) Add up the last 2 terms, pulling out common factors : 6 • (a-9)

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 6 a2 - 9a + 6a - 54Step-4 : Add up the first 2 terms, pulling out like factors : a • (a-9) Add up the last 2 terms, pulling out common factors : 6 • (a-9)Step-5 : Add up the four terms of step 4 :

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 6 a2 - 9a + 6a - 54Step-4 : Add up the first 2 terms, pulling out like factors : a • (a-9) Add up the last 2 terms, pulling out common factors : 6 • (a-9)Step-5 : Add up the four terms of step 4 : (a+6) • (a-9)

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 6 a2 - 9a + 6a - 54Step-4 : Add up the first 2 terms, pulling out like factors : a • (a-9) Add up the last 2 terms, pulling out common factors : 6 • (a-9)Step-5 : Add up the four terms of step 4 : (a+6) • (a-9) Which is the desired factorization

Step-by-step explanation:

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Answer 2

Answer:

Factorise a² - 3a - 54

=> a² + 6a-9a - 54

=> taking out the common factors, we get:-

{ a+6 } - 9 { a+ 6 }

=> (a +6) ( a-9)

Hope it was helpful!!