Advertisements
Advertisements
Question
If p(a) = 0 then (x – a) is a ___________ of p(x)
Options
divisor
quotient
remainder
factor
Advertisements
Solution
If p(a) = 0 then (x – a) is a factor of p(x)
APPEARS IN
RELATED QUESTIONS
If (x + 2) and (x + 3) are factors of x3 + ax + b, find the values of ‘a’ and ‘b’.
Using the Factor Theorem, show that (3x + 2) is a factor of 3x3 + 2x2 – 3x – 2. Hence, factorise the expression 3x3 + 2x2 – 3x – 2 completely.
Using the Remainder Theorem, factorise each of the following completely.
3x3 + 2x2 – 23x – 30
If x – 2 is a factor of x2 + ax + b and a + b = 1, find the values of a and b.
Using the factor Theorem, show that:
2x + 7 is a factor 2x3 + 5x2 − 11x – 14. Hence, factorise the given expression completely.
By using factor theorem in the following example, determine whether q(x) is a factor p(x) or not.
p(x) = 2x3 − x2 − 45, q(x) = x − 3
Find the value of a , if (x - a) is a factor of x3 - a2x + x + 2.
Show that (2x + 1) is a factor of 4x3 + 12x2 + 11 x + 3 .Hence factorise 4x3 + 12x2 + 11x + 3.
Factors of 3x3 – 2x2 – 8x are ______.
If mx2 – nx + 8 has x – 2 as a factor, then ______.
