MP Board · Class 10 · Mathematics · PolynomialsFind the value of the polynomial $5x - 4x^2 + 3$ at $x = -1$.

Let the given polynomial be represented as $p(x) = 5x - 4x^2 + 3$. To find its value at $x = -1$, we substitute $x = -1$ wherever $x$ appears in the polynomial expression. This gives $p(-1) = 5(-1) - 4(-1)^2 + 3$. Now, evaluating each term step by step: $5(-1) = -5$, $(-1)^2 = 1$ so $-4(1) = -4$, and the constant term is $+3$. Combining these values together, we get $p(-1) = -5 - 4 + 3 = -9 + 3 = -6$. Therefore, the value of the polynomial at $x = -1$ is $-6$.