Question

Match the polynomial to its constant term

Answer 1

see explanation

Explanation:

Without having to expand the factors

the constant term is the result of multiplying the constant terms within each factor , including any multiplier outside the factors

A

p(x) = (x - 2)(x - 3)(x + 7 )

constant term = - 2 × - 3 × + 7 = 6 × 7 = 42

B

p(x) = (x + 2)( x - 3)(x + 7)

constant term = + 2 × - 3 × + 7 = - 6 × 7 = - 42

C

p(x) =
`(1)/(2)` (x - 2)(x - 3)(x + 7)

constant term =
`(1)/(2)` × - 2 × - 3 × + 7 =
`(1)/(2)` × 6 × 7 = 3 × 7 = 21

D

p(x) = 5(x - 2)(x - 3)(x + 7)

constant term = 5 × - 2 × - 3 × + 7 = - 10 × - 21 = 210

E

p(x) = - 5(x - 2)(x - 3)(x + 7)

constant term = - 5 × - 2 × - 3 × + 7 = 10 × - 21 = - 210