Question

The graph of polynomial $P\left(x\right)=ax-b$, where $a\ne 0,a,b\in R$ intersects X axis at _________point.

• A. $(\frac{b}{a},0)$
• B. $(0,\frac{b}{a})$
• C. $(-\frac{b}{a},0)$
• D. $(-\frac{a}{b},0)$

Answer 1

The correct option is A $(\frac{b}{a},0)$

$P\left(x\right)=ax-b$, where $a\ne 0,a,b\in R$
The graph of $P\left(x\right)$ intersects X-axis at a point whose Y-coordinate is zero.
$\therefore ax-b=0$
$\therefore x=\frac{b}{a}$
$\therefore$ The graph of $P\left(x\right)$ intersects X axis at $(\frac{b}{a},0)$