Question

If $f\left(x\right)=a{x}^2+bx+c,$ find $f\left(0\right),f\left(a\right)$ and $f\left(b\right).$

• A. $f\left(0\right)=c.$
• B. $f\left(a\right)=a^3+ab+c.$
• C. $f\left(b\right)=a{b}^2+b^2+c.$
• D. $f\left(0\right)=b.$

Answer 1

Answer: (A), (B), (C)

The correct options are
A $f\left(0\right)=c.$
B $f\left(a\right)=a^3+ab+c.$
C $f\left(b\right)=a{b}^2+b^2+c.$

Given, $f\left(x\right)=a{x}^2+bx+c$

$\therefore f\left(0\right)=c,f\left(a\right)=a^3+ab+c,f\left(b\right)=a{b}^2+b^2+c$