3. Factor x – 21 x – 20 completely by using synthetic division if one of the factors is (x + 4)
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Consider the given expression as and one linear factor is .
Equate the linear factor to zero and obtain the value of x as .
Method to perform synthetic division:
i. Write down the coefficient of the dividend.
ii. Change the sign of the in the divisor.
iii. Bring down the first coefficient of the dividend.
iv. Multiply, add, repeat.
v. The answer is the sequence of the coefficients of new polynomial but one degree less than original polynomial.
vi. The last term is the remainder, put that over divisor.
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