Question

1. Twins Carey and Corey were born 3 years after their older sister, Mary. In 2016, the product of all three of Carey, Corey and Mary's ages is 3287 years greater than the sum total of all three ages. How old are the twins? 2. a) Use long division to divide –x3 - 2x2 - 1 by x - 1. Express the result in quotient form. b) Write the corresponding statement that can be used to check the division

Answer 1

x I Let the Edge of older sister Mary's edge age then age of Carey = x-3 age of Corey Product of their ages x (-3) (6-3) X ~3 3287 ze (3-3)(-3) = 23-6X2+ 9% 3252 Xa17 age edge of many =12 age of Carey age of coreya 14 twins are bom in 2016. years old. in 2030. 14 Now they are @ - x3 - 2x²- divided by X-1 2 Xal (-x2-3x - 3 x-1) -x3-2X2 -1 -x3 + x2 - 3x²-1 - 3x2 + 3x + - 3X -) - 3x +3 + -4 *?3X-3 Remainder Quotient 3-4

LA (6) Flore) and ple) are polynomials of dogeree n and m (man) respectively then there exist a polynomial Q(x) of degree nom and a polynomial p(x), which are either identical zero ao corstent as degree dey then Flac) $(x) Q(x)) + R la) Here Q(x) is Quotient & R (2) Remainder is tan + F(x) = qoxa x 9,790! F(x) = nth order polynomial Q(x) = mth orden polynomial i mang
both the solution are in the pictures