Advertisements
Advertisements
Question
If x – 3 is a factor of p(x), then the remainder is
Options
3
– 3
p(3)
p(–3)
Advertisements
Solution
If x – 3 is a factor of p(x), then the remainder is p(3)
APPEARS IN
RELATED QUESTIONS
Find the values of constants a and b when x – 2 and x + 3 both are the factors of expression x3 + ax2 + bx – 12.
Using the factor Theorem, show that:
2x + 7 is a factor 2x3 + 5x2 − 11x – 14. Hence, factorise the given expression completely.
If (x - 2) is a factor of x3 − mx2 + 10x − 20 then find the value of m.
Prove by factor theorem that
(x - 3) is a factor of 5x2 - 21 x +18
Find the value of a , if (x - a) is a factor of x3 - a2x + x + 2.
In the following problems use the factor theorem to find if g(x) is a factor of p(x):
p(x) = x3 + x2 + 3x + 175 and g(x) = x + 5.
If x – 2 is a factor of 2x3 - x2 - px - 2.
with the value of p, factorize the above expression completely.
Using the Remainder and Factor Theorem, factorise the following polynomial: x3 + 10x2 – 37x + 26.
What number should be subtracted from 2x3 – 5x2 + 5x so that the resulting polynomial has 2x – 3 as a factor?
If x – 2 is a factor of x3 – kx – 12, then the value of k is ______.
