Find the value of the polynomial 3x^{3}-4x^{2 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the polynomial be $p(x) = 3x^{3} - 4x^{2} + 7x - 5$.To find the value of the polynomial at $x = 3$,we substitute $3$ for $x$ in the expression

Vedclass · Accepted Answer

$61$

Vedclass · Answer

(B) Let the polynomial be $p(x) = 3x^{3} - 4x^{2} + 7x - 5$.To find the value of the polynomial at $x = 3$,we substitute $3$ for $x$ in the expression:$p(3) = 3(3)^{3} - 4(3)^{2} + 7(3) - 5$Calculate the powers:$p(3) = 3(27) - 4(9) + 21 - 5$Perform the multiplications:$p(3) = 81 - 36 + 21 - 5$Perform the addition and subtraction:$p(3) = 45 + 21 - 5 = 66 - 5 = 61$.Thus,the value of the polynomial at $x = 3$ is $61$.

Find the value of the polynomial $3x^{3}-4x^{2}+7x-5$ when $x=3$.

Similar Questions

One of the factors of $(25 x^{2}-1)+(1+5 x)^{2}$ is

Expand $(x - \frac{1}{2})^{2}$.

By the Remainder Theorem,find the remainder when $p(x)$ is divided by $g(x)$,where $p(x) = x^{3} - 3x^{2} + 4x + 50$ and $g(x) = x - 3$.

Classify the following as a constant,linear,quadratic,or cubic polynomial:
$3x^3$

Give an example of a polynomial,which is:
$(i)$ monomial of degree $1$
$(ii)$ binomial of degree $20$
$(iii)$ trinomial of degree $2$

Vedclass Test Series

Exam Paper Generator

Online Exam Module