Question

Q#1

1. (10 pts) Find the error that was made in the work shown below and explain the mistake in your own words. Then fix the mistake and find the correct solution. Write your answer in the form dividend - divisor = quotient +- remainder divisor . -5x² + 3 2 x + 3 2x2 +1 -10x“+3x3-7x +5 -(-10x*- 5x2) 3x3 + 5x2-7x+5 -3x3 + 3x 5x2- 5.5x+5 - (5x+5) -5.5x +2.5

Answer 1

riven : * ²+1 5 10x4 + 34 3-7x+5 -f-10x4 - 5x2) 3 x 3 + 5 m² - 7x +5 - 3 n3 +3 5 m2 -5.50 +5 -(Sy² + 5/2) - - 5.5n+2.5 In an the solution proposed error when there was 2x + 1) -10 + 3x3 - 74 +5 - (-104" - 5x²) 3 n3 +542 - 70 +5 - £3x3 + 3 ) Here - L3 m 3 + } }) = -3x3-34 I but it has + n in the solution an error. so it is

so the correct solution is like. - 5x3 + 3 + 5 + 1) - 10x4 + 3 n3 _74+5 -(tox - 5,² 3x3 +5,² - 7x+5 3x3 + 3x) 542-8.50 +5 4² +2.5) - 8.50 +2.5 so, dividend - divisor = quotient & remainder divisor -> (-10%" + 3 x ² - 7x+5) = (24²1) = (-5x² + 1.50 +2.5) + -8.50+ 2.5 an²+

In these type of questions always take caution while subtraction of terms or else we may land with wrong answer.Also we must try to atleast verify our solution and check if our solution is correct or not.We also might use the formula dividend=divisor*quotient + remainder.