Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).The degree of the function Fx) = -(x + 1)2(2x - 3)(x+ 2)? Is1, and its y-intercept is ( 0,0).

Answer:Degree:3Y-intercept:-6Step-by-step explanation:The given function is:[tex]f(x) = - {(x + 1)}^{2}( {2x - 3)}(x +2 )[/tex]To find the degree, we multiply out the leading terms of each factor.The leading term of the first factor is:[tex] - {x}^{2} [/tex]and that of the second factor is[tex]2x[/tex]and the third one is:[tex]x[/tex]If we multiply out the leading terms, we would get:[tex] - {x}^{2} \times 2x \times x = - 2 {x}^{3} [/tex]Therefore the degree of the function is:3To find the y-intercept, we put x=0 to get:[tex]f(0) = - {(0 + 1)}^{2}( {2 \times 0 - 3)}(0 +2 )[/tex][tex] \implies \: f(0) = ( 1)( - 3) \times (2) = - 6[/tex]