The factor is (x+3)² while the value of x is -3.To factor x² +6x +9,we need to think of numbers that when you add, it’s b(the middle one) and when you multiply it’s the c(constant). Since it’s x squared, the first term in the factor is automatically x.The number that satisfy our condition is 3 because:3+3 = 63+3 = 9Therefore the factor of this is (x+3) (x+3) or (x+3)²To find the value of x, we equate x+3 to 0x+3=0Transpose 3x=0-3x=-3Therefore, the value of x is only -3 since the factor is the same.
Answer:(x+3)(x+3) factor and x = -3Step-by-step explanation:factor out and get value of x