Consider p(x)=3x^3+ax+5a, a is an element of the integers. The polynomial p(x) leaves a remainder of -7 when divided by (x-a). Show that only one value of a satisfies the above condition and state it’s value.

One integer is 5 more than another. their product is 104. find the integers

Louise measured the perimeter of her rectangular scrapbook to be 154 cm. if the scrapbook is 45 cm wide, how long is the scrapbook?

Mr. brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. he has drawn a sketch on a coordinate grid. he has the lower vertices of the sign at (9, –3) and (–6, –3). where would the upper vertices be on the grid?