Question

The zeroes of the polynomial
$P\left(x\right)=a{x}^2+bx+c$ are 1 and 2.
Find the value of $a,b\text{and}c$.

• A. a = 1, b = -3 , c = 1
• B. a = 1 , b = -3, c = 2
• C. a = 3, b = -1, c = 1
• D. a = -1 , b = -3, c = -2

Answer 1

The correct option is B

a = 1 , b = -3, c = 2

Given the zeroes of $P\left(x\right)$ are 1 and 2.
$⟹P\left(x\right)=(x-1)(x-2)$
$⟹a{x}^2+bx+c=x^2-3x+2$
$⟹a=1,b=-3,\text{and}c=2$