Question

Factorise: a²-7a-30​

Answer 1

Answer:

The first term is, a2 its coefficient is 1 .

The middle term is, -7a its coefficient is -7 .

The last term, "the constant", is -30

Step-1 : Multiply the coefficient of the first term by the constant 1 • -30 = -30

Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -7 .

-30 + 1 = -29

-15 + 2 = -13

-10 + 3 = -7 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 3

a2 - 10a + 3a - 30

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

a • (a-10)

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

3 • (a-10)

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

(a+3) • (a-10)

Which is the desired factorization

Answer 2

Answer:

hope may it help you

Step-by-step explanation:

p(x)= a²-7a-30

p(-1)= (-1²)-7 (-1)-30

p(0)= 6-29

= 23

so, 23 is not a factorize