Answer:
1) 3x² - 15x + 18
2) y-intercept: 18
Zeros: 2 and 3
3) 12x ; (x - 6)²
4) 16x² - 81; (4x - 9)(4x + 9)
Step-by-step explanation:
3x² - 15x + 18
3(x² - 5x + 6)
3[x² - 2x - 3x + 6]
3[x(x - 2) - 3(x - 2)]
3(x - 2)(x - 3)
x - 2 = 0
x = 2
x - 3 = 0
x = 3
Zeros: 2 and 3
y-intercept: at x = 0
3(0-2)(0-3) = 18
x² - 2(x)(b) + 6²
b = 6
2x(6) = 12x
(x - 6)²
16x² - 81
(4x)² - 9²
(4x - 9)(4x + 9)