Question

The polynomial P($x$) = 4$x^3$ + 7$x^2$ – 5$x$ + t, when divided by $x$ + 1 gives 3 as the remainder. Find the value of ‘t’.

• A. -3
• B. -4
• C. -5
• D. -6

Answer 1

The correct option is C

-5

The remainder when P($x$) is divided by $x$ + 1 is 3, which simply means that P(-1) = 3, so upon solving we get 4${(-1)}^3$ + 7${(-1)}^2$ + 5(1) + t = 3, and hence t = -5.