Question

If x² + 7x + 12 = (x+a)(x+b), a+b=_________​

Answer 1

Solution:

Given That:

→ x² + 7x + 12 = (x + a)(x + b)

→ x² + 7x + 12 = x(x + b) + a(x + b)

→ x² + 7x + 12 = x² + bx + ax + ab

→ x² + 7x + 12 = x² + (a + b)x + ab

Comparing both sides, we get:

→ 7 = a + b

→ a + b = 7

And:

→ ab = 12

★ So, the value of a + b is 7.

Answer:

• a + b = 7
• ab = 12

•••♪

Answer 2

Step-by-step explanation:

x²+7x+12

on factorising

x²+3x+4x+12 = x(x+3)+4(x+3) = (x+4)(x+3)

so, a= 4 and b=3

hence, a+b= 7