(x³ +x²-ax+1)=(x+3)Solution Answer​

Here's how to solve the equation (x³ + x² - ax + 1) = (x + 3) to find the value of 'a': 1. Simplify the Equation - Subtract (x + 3) from both sides to set the equation to zero:x³ + x² - ax + 1 - (x + 3) = 0- Combine like terms:x³ + x² - ax - x - 2 = 0 2. Factor the Equation - We know that (x + 3) is a factor of the expression. To find the other factor, we can use polynomial long division or synthetic division. Let's use synthetic division for this example: -3 | 1 1 -a -1 -2-3 6 3a-9 6a-21 1 -2 6-a 3a-10 6a-23- The result of the division tells us that the other factor is:x² - 2x + (6 - a)x + (3a - 10) 3. Solve for 'a' - Since (x + 3) is a factor, the expression must equal zero when x = -3. Substitute x = -3 into the other factor:(-3)² - 2(-3) + (6 - a)(-3) + (3a - 10) = 0- Simplify and solve for 'a':9 + 6 - 18 + 3a + 3a - 10 = 06a - 13 = 06a = 13a = 13/6 Therefore, the value of 'a' is 13/6.

Answered by aiahbinilat | 2024-10-16