Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
p(x) = x3 + x2 + 3x + 175 and g(x) = x + 5 ...(i)
To check whether (x + 5) is a factor of p(x), we have to find p(-5), put x = -5 in equation (i), we get
p(-5) = (-5)3 + (-5)2 + 3(-5) + 175
= -125 + 25 - 15 + 175
= -140 + 200 = 60
Since, p(-5) ≠ 0, so by factor theorem (x + 5) is not a factor of p(x).
संबंधित प्रश्न
Find the value of k, if 3x – 4 is a factor of expression 3x2 + 2x − k.
Find the value of ‘a’, if (x – a) is a factor of x3 – ax2 + x + 2.
Find the value of k, if 2x + 1 is a factor of (3k + 2)x3 + (k − 1).
Use factor theorem to determine whether x + 3 is factor of x 2 + 2x − 3 or not.
The expression 2x3 + ax2 + bx - 2 leaves the remainder 7 and 0 when divided by (2x - 3) and (x + 2) respectively calculate the value of a and b. With these value of a and b factorise the expression completely.
Show that (x – 2) is a factor of 3x2 – x – 10 Hence factorise 3x2 – x – 10.
Show that (x – 1) is a factor of x3 – 5x2 – x + 5 Hence factorise x3 – 5x2 – x + 5.
Use factor theorem to factorise the following polynominals completely. x3 – 13x – 12.
x – 1 is a factor of 8x2 – 7x + m; the value of m is ______.
Factors of 3x3 – 2x2 – 8x are ______.
