A polynomial could be represented by a list of pairs where each pair coefficient and an exponent. For example, the list $\text{'}((1\mathrm{.}3)(2\mathrm{.}2)(3\mathrm{.}1)(4\mathrm{.}0))$ represents the polynomial x $+2$x$^2+3$x $+4.$

a$.$ Write a Scheme function called $($eval$-$poly p x$)$ that evaluates the polynomial p for value x

$>($define poly$1\text{'}((1\mathrm{.}3)(2\mathrm{.}2)(3\mathrm{.}1)(4\mathrm{.}0)))$

$>($define poly$2\text{'}((2\mathrm{.}2)(4\mathrm{.}1)(5\mathrm{.}0)))$

$>($eval$-$poly poly$11)$

$10$

$>($eval$-$poly poly$13)$

$58$

$>($eval$-$poly poly$22)$

$21$

$>($eval$-$poly poly$2$

$7)$

$131$

b$.$ Write a Scheme function called $($get$-$poly$-$fun p$)$ that returns a function that takes a single parameter which evaluates polynomial p at that value.

$>(($get$-$poly$-$fun poly$1)10)$

$1234$

$>(($get$-$poly$-$fun poly$1)1)$

$10$

$>($define f$1($get$-$poly$-$fun poly$1))$

$>($define f$2($get$-$poly$-$fun poly$2))$

$>($f$13)$

$58$

$>($f$22)$

$21$

$>($f$27)$

$131$