Please answer all these math questions (1,2,5,6, and 7-a,b) and show all work done to reach answer.

@ a) Divide x* 16x + 4x? + 10x 11 by each of the following binomials. ) x2 i) x+4 i) x1 b)) Are any of the binomials in part a) factors of x* 16x> + 4x* + 10x 112 Explain. @ State the degree of the quotient for each of the following division statements, if possible. (x* 15x% + 2x2 + 12x 10) = (x2 4) (5x 4x* + 3x 4) + (x + 3) (x* = 7x>+ 2x2 + 9x) + (x> x>+ 2x + 1) (2x% + 5x 4) + (x* + 3x> 5x2 + 4x 2) @ alculate each of the following using long division. a)| (x> 2x+ 1) + (x 4) b (x> +2x*6x+ 1)+ (x+2) Ol (2x + 5x* 4x 5) + (2x + 1) D\\ (x*+3x> 2%+ 5x 1) = (x* + 7) | (x*+6x28x+12)+ (x> x> x+ 1) )] (x> +4x* +9x+8) + (x*+ x>+ x4+ x2) @ Calculate each of the following using synthetic division. a)| (x> 7x6) ~ (x 3) b)| (2x 7x* 7x + 19) + (x 1) d | (6x* + 13x> 34x? 47x + 28) = (x + 3) d)| (2x + x> 22x + 20) + (2x 3) o | (12x* 56x> + 539x% + 9x 18) + (2x + 1) )) (6x 2x 15x2 + 5) = (2x 5) Each divisor was divided into another polynomial, resulting in the given quotient and remainder. Find the other polynomial (the dividend). divisor: x + 10, quotient: x> 6x + 9, remainder: 1 divisor: 3x 2, quotient: x> + x 12, remainder: 15 divisor: 5x + 2, quptient: x + 4x* 5x + 6, remainder: x 2 X divisor: x> + 7x 2, quotient: x* + x 4 11x + 4, remainder: x> =x+5