Question

Find the value of the polynomial 5x – 4x2
+ 3 at x = 6

Answer 1

Given :

• Polynomial = 5x – 4 × 2  + 3
• x = 6

To find :

• the value of the polynomial 5x – 4 × 2  + 3

Solution :

⇒ Let's write the value of x, wherever we are supposed to.

→ 5x – 4 × 2  + 3

→ (5 × 6) – 4 × 2 + 3

⇒ Now, let's solve it further.

→ (5 × 6) – 4 × 2 + 3

→ (30) – 4 × 2 + 3

→ 30 – 4 × 2 + 3

→ 30 – 8 + 3

→ 22 + 3

→ 25

• Therefore, the value of 5x – 4 × 2  + 3 at x = 6 is 25.

Answer 2

$\bigstar\small\tt \purple{ \: Given:-}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\dashrightarrow\footnotesize\tt{Polynomial \purple = 5x - {4x}^{2}+3}$

$\dashrightarrow\footnotesize\tt{x \: \purple = \: 6}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\bigstar\small\tt \purple{ \: Solution: - }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize\tt{p(x) \purple = 5x - {4x}^{2}+3}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize\tt{Substitute \: value \: of \: x \: \purple = \: 6}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize\tt{p(6) \purple = 5 \times 6 - 4({6})^{2}+3}$

$\footnotesize\tt{p(6) \purple = 30 - 4({36})+3}$

$\footnotesize\tt{p(6) \purple = 30 - 144+3}$

$\footnotesize\tt{p(6) \purple = 30 - 141}$

$\footnotesize\tt{p(6) \purple = - 111}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize \tt{\: Value \: of \: polynomial \: 5x \: – \: {4x}^{2} + 3 \: at \: x = 6 \: is \: \purple{ -111}}$