Question

Find the values of the unknown constants for the identities

Answer 1

Answer:

a = 1 and b = - 10

Step-by-step explanation:

Expand the right side of the identity

x(ax² - 3x + b) - 3(ax² - 3x + b)

= ax³ - 3x² + bx - 3ax² + 9x - 3b

= ax³ - x²(3 + 3a) + x(b + 9) - 3b

Equate the coefficients of like terms on both sides of the identity

x³ terms → ax³ with x³ ⇒ a = 1

x terms → - x with (b + 9)x ⇒ b + 9 = - 1 ⇒ b = - 10