Question

Check whether the polynomial p(s)=3s³+s²-20s is a multiple of 3s-2

Answer 1

Given that,

p (m) = mx² - 2x + 3

Now, p (- 1) = 7

or, m (- 1)² - 2 (- 1) + 3 = 7

or, m (1) + 2 + 3 = 7

or, m + 5 = 7

or, m = 7 - 5 = 2

Therefore, the value of m is 2

Answer 2

$3 {s}^{3} + {s}^{2} - 20s \: is \: not \: multiple \: of \: 3s - 2$