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Show that: $3x+2$ is a factor of $3x^{2}-x-2$
Show that: $3x+2$ is a factor of $3x^{2}-x-2$
Class 10 | Exercise 8A | ICSE | Maths | Remainder and Factor Theorems | Selina
Show that: $3x+2$ is a factor of $3x^{2}-x-2$

We know that when a polynomial f (x) is divided by (x – a), the remaining is f from the remainder theorem (a).

Given:

f(x) = 3x2 – x – 2

f(-2/3) = 3(-2/3)2 – (-2/3) – 2 = 4/3 + 2/3 – 2 = 2 – 2 = 0

As the remainder is zero for x = -2/3

Thus, we can conclude that (3x + 2) is a factor of 3x2 – x – 2

i

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