Question

The polynomial x²-2x-(7p+3) represents a rainbow. If -4 is zero of it, then the value of p is

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer: (C)

3

Answer 2

A zero of a polynomial is a value that, when substituted for the variable, makes the polynomial equal to zero. Given that -4 is a zero of $x^2 - 2x - (7p+3)$, we set the polynomial to zero with $x=-4$ and solve for $p$. $(-4)^2 - 2(-4) - (7p+3) = 0$ $16 + 8 - (7p+3) = 0$ $24 - 7p - 3 = 0$ $21 - 7p = 0$ $7p = 21$ $p = 3$