Show that b=1, c=-16 and d=20 for the function g(x)=x3+bx2+cx+d. The graph passes through (0, 20), (-5, 0) and has a local maximum at P.

May 12, 2026Mathematics

ScanSolve AI Answer

May 12, 2026

Answer

$d=20$

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Here's the solution to your differential calculus problem:

9.1.1 Show that $b=1$ , $c=-16$ and $d=20$ .

Step 1: Determine $d$ and $x_P$ . The graph intersects the $y$ -axis at $(0; 20)$ . Substituting $x=0$ into $g(x)$ : $g(0) = (0)^3 + b(0)^2 + c(0) + d = d$ Therefore, $d=20$ .

The graph intersects the $x$ -axis at $(-5; 0)$ and at P. P is also a

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Welcome back ✰_✰..G-Mathabie!! — missed you this week. Here's the solution to your differential calculus problem: 9.1.1 Show that b=1, c=-16 and d=20.

Asked on May 12, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 12, 2026

Welcome back ✰_✰..G-Mathabie!! — missed you this week. Here's the solution to your differential calculus problem: 9.1.1 Show that b=1, c=-16 and d=20. Step 1: Determine d and x_P. The graph intersects the y-axis at (0; 20). Substituting x=0 into g(x): g(0) = (0)^3 + b(0)^2 + c(0) + d = d Therefore, d=20. The graph intersects the x-axis at (-5; 0) and at P. P is also a