5x − 4x2 + 3 বহুপদৰ মান নির্ণয় কৰা জেতিয়া - i) x = 0, ii) x = −1, iii) x = 2

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the problems.

: Evaluate the polynomial $5x - 4x^2 + 3$ for the given values of $x$ .

Let the polynomial be $P(x) = -4x^2 + 5x + 3$ .

Substitute $x=0$ into the polynomial.
$P(0) = -4(0)^2 + 5(0) + 3$
Simplify the expression.
$P(0) = -4(0) + 0 + 3$ $P(0) = 0 + 0 + 3$ $P(0) = \boxed{3}$
- Part (ii): For $x = -1$
Substitute $x=-1$ into the polynomial.
$P(-1) = -4(-1)^2 + 5(-1) + 3$
Simplify the expression.
$P(-1) = -4(1) - 5 + 3$ $P(-1) = -4 - 5 + 3$ $P(-1) = -9 + 3$ $P(-1) = \boxed{-6}$
- Part (iii): For $x = 2$
Substitute $x=2$ into the polynomial.
$P(2) = -4(2)^2 + 5(2) + 3$
Simplify the expression.
$P(2) = -4(4) + 10 + 3$ $P(2) = -16 + 10 + 3$ $P(2) = -6 + 3$ $P(2) = \boxed{-3}$
: Multiply $273 \times 27$ .
Multiply 273 by the units digit of 27, which is 7.
$273 \times 7 = 1911$
Multiply 273 by the tens digit of 27, which is 2 (representing 20).
$273 \times 20 = 5460$
Add the results from Step 1 and Step 2.
$1911 + 5460 = 7371$
The product is $\boxed{7371}$ .

5x - 4x2 + 3 বহুপদৰ মান নির্ণয় কৰা জেতিয়া - i) x = 0, ii) x = -1, iii) x = 2