Question

Polynomials
7. Verify that
(b) 1 and 2 are the zeros of the polynomial, p(x) = x - 3x + 2.
(ii) 2 and 3 are the zeros of the polynomial, q(x) = x++x-6.
(iii) 0 and 3 are the zeros of the polynomial, r(x) = x - 3x​

Answer 1

Answer:

i) put p(x) = p(1) then x-3x+2 = 1-3+2 = 0 hence 1 is zeros of the polynomial

p(2) then x-3x+2 =2-6+2=-2 thus 2 is not the zeros of the polynomial

ii) put q(x) = q(2) then 2+2-6= -2

thus not zeros polynomial

q(x) =q(3) 3+3-6=0

thus 3 is zeros polynomial

iii) put r(x) = r(0) then 0-3(0)=0 thus 0 is zeros polynomial

r(x) = r(3) then 3-9= -6

thus 3 is not the zeros polynomial