Advertisements
Advertisements
प्रश्न
Factors of 3x3 – 2x2 – 8x are ______.
पर्याय
x(3x2 – 2x – 8)
x(x – 2)(3x + 4)
2x(x – 4)(2x + 1)
x(x – 4)(2x + 1)
Advertisements
उत्तर
Factors of 3x3 – 2x2 – 8x are x(x – 2)(3x + 4).
Explanation:
3x3 – 2x2 – 8x = x(3x2 – 2x – 8)
= x(3x2 – 6x + 4x – 8)
= x[3x(x – 2) + 4(x – 2)]
= x(3x + 4)(x – 2)
APPEARS IN
संबंधित प्रश्न
Find the values of constants a and b when x – 2 and x + 3 both are the factors of expression x3 + ax2 + bx – 12.
If x + a is a common factor of expressions f(x) = x2 + px + q and g(x) = x2 + mx + n; show that : `a = (n - q)/(m - p)`
If x – 2 is a factor of x2 + ax + b and a + b = 1, find the values of a and b.
Prove that (x - y) is a factor of yz( y2 - z2) + zx( z2 - x2) + xy ( x2 - y2)
Prove that (5x - 4) is a factor of the polynomial f(x) = 5x3 - 4x2 - 5x +4. Hence factorize It completely.
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.
Find the value of the constant a and b, if (x – 2) and (x + 3) are both factors of expression x3 + ax2 + bx - 12.
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.
Determine whether (x – 1) is a factor of the following polynomials:
x4 + 5x2 – 5x + 1
Determine the value of m, if (x + 3) is a factor of x3 – 3x2 – mx + 24
