the value of polynomial p(x)= 3x^3-4x+√11 at x=2
Answers
Answer:
- 16+√11 is the required value of given polynomial.
Step-by-step explanation:
According to the Question
It is given that,
- p(x) = 3x³-4x+√11
when
x = 2
substituting the value of x = 2 in given polynomial we get
↠ p(2) = 3(2)³ - 4(2) + √11
↠ p(2) = 3(8) -8 + √11
↠ p(2) = 24 - 8 + √11
↠ p(2) = 16 +√11
- Hence, the required value is 16 + √11.
Additional Information !!
Some More identities!!
• (a + b)² = a² + b² +2ab
• ( a - b )² = a² + b² -2ab
• ( a² - b² ) = ( a - b ) ( a + b )
•( a +b +c)² = (a² + b² + c²) + 2(ab + bc +ca)
• (a + b)³ = a³ + b³ + 3ab(a+b)
• (a-b)³ = a³ - b³ -3ab(a-b)
• ( a³ + b³) = (a+b) (a²-ab +b²)
• (a³ - b³) = (a -b) (a² + ab + b²)
Given :
- x = 2
On Substituting x = 2 in question we get,
➻ p(x) = 3(2)³ - 4(2) + √11
➻ p(x) = 3(8) - 8 + √11
➻ p(x) = 24 - 8 + √11
➻ p(x) = 16 + √11
Therefore, the value of polynomial p(x) = 16 + √11
Here, √11 is an irrational number.So,The equation can't be further simplified.
Hope it helps you ❤