Question

a2-4a-437 factorise ​

Answer 1

The first term is, a2 its coefficient is 1 . ( Nothing means 1)

The middle term is, -4a its coefficient is -4 .( We have to take any term along with its negative or positive sign)

The last term, "the constant", is -437 ( same logic applies here too )

**Step-1 ): Multiply the coefficient of the first term by the constant 1 * -437 = -437 ( no need to multiply though , as we all know )

**Step-2) : Find two factors of -437 whose sum equals the coefficient of the middle term, which is -4 .

-437 + 1 = -436

-23 + 19 = -4 That's it! ( Easy right? )

**Step-3) : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -23 and 19

a2 - 23a + 19a - 437

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

a * (a-23)

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

19 * (a-23)

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

(a+19) × (a-23)

Which is the desired factorization✓

**Final result :**

✓✓ (a + 19) • (a - 23)✓✓

Thanks !

Please mark branliest after a hardwork .