Questions: Evaluate the given expression at (x=-3) (4 x^2-3 x-5)

Solution Steps

To evaluate the expression $4x^2 - 3x - 5$ at $x = -3$, substitute $-3$ for $x$ in the expression and compute the result.

To evaluate the expression $4x^2 - 3x - 5$ at $x = -3$, substitute $-3$ for $x$: $$4(-3)^2 - 3(-3) - 5$$

First, calculate $(-3)^2$: $$(-3)^2 = 9$$ Then, calculate $4 \times 9$: $$4 \times 9 = 36$$ Next, calculate $-3 \times (-3)$: $$-3 \times (-3) = 9$$

Substitute the calculated values back into the expression: $$36 + 9 - 5$$

Add and subtract the terms: $$36 + 9 = 45$$ $$45 - 5 = 40$$

Final Answer