A quadratic polynomial ax2 bx c is such that when it is divided by x x 1 and x 1 the remainders are ...........

Quantitative Aptitude (CDS) Quadratic Equations

A quadratic polynomial ax2 + bx + c is such that when it is divided by x, (x - 1) and (x + 1), the remainders are 3, 6 and 4 respectively. What is the value of (a + b)?

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Explanation:

ax2 + bx + c When divided by x, dividend=ax + b & reminder=c So, the value of c = 3
When divided by (x-1), dividend = ax + b + a & reminder => c + a + b = 6 Thus, a + b = 3 (since c = 3)