Question

# Find the product of ${\text{(5 - 2x)}}$ and ${\text{(4 + x)}}$

Given ${\text{(5 - 2x)}}$and ${\text{(4 + x)}}$
${\text{ = (4 + x)}}{\text{.(5 - 2x)}} \\ {{ = (4 \times 5 + 4 \times ( - 2x) + x(5) + x( - 2x))}} \\ {\text{On simplifying we get,}} \\ {\text{ = (20 - 8x + 5x - 2}}{{\text{x}}^{\text{2}}}{\text{)}} \\ {\text{ = 20 - 3x - 2}}{{\text{x}}^{\text{2}}} \\$
Hence, our required answer is ${\text{ = 20 - 3x - 2}}{{\text{x}}^{\text{2}}}$.
Note: A polynomial function is a function which involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, ${\text{(2x + 5)}}$ is a polynomial which has an exponent equal to $1$.The product of two numbers is the result you get when you multiply them together.