Question

Multiply:
(vi) $1+4x$ by $x$

Answer 1

Find the product of $1+4x$ and $x$
To find: $(1+4x)\times x$

The multiplication of monomials can be performed by multiplication of their coefficients and literals.

$\therefore (1+4x)\times x$
$=1\times x+4x\times x$
$=x+(1\times 4)\times (x\times x)$
$=x+4x^2$

Hence, the product of $(1+4x)$ and $x$ is $x+4x^2.$