Advertisements
Advertisements
प्रश्न
Find whether the first polynomial is a factor of the second.
x + 1, 2x2 + 5x + 4
Advertisements
उत्तर
\[ \frac{2 x^2 + 5x + 4}{x + 1}\]
\[ = \frac{2x(x + 1) + 3(x + 1) + 1}{x + 1}\]
\[ = \frac{(x + 1)(2x + 3) + 1}{(x + 1)}\]
\[ = (2x + 3) + \frac{1}{x + 1}\]
\[ \because \text{Remainder} = 1\]
\[\text{Therefore, (x + 1) is not a factor of}\ 2 x^2 + 5x + 4\]
APPEARS IN
संबंधित प्रश्न
Divide the given polynomial by the given monomial.
8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2
Which of the following expressions are not polynomials?
Which of the following expressions are not polynomials?
Write each of the following polynomials in the standard form. Also, write their degree.
Simplify:\[\frac{32 m^2 n^3 p^2}{4mnp}\]
Divide \[y^4 - 3 y^3 + \frac{1}{2} y^2 by 3y\]
Divide 4z3 + 6z2 − z by −\[\frac{1}{2}\]
Divide x4 − 2x3 + 2x2 + x + 4 by x2 + x + 1.
Find whether the first polynomial is a factor of the second.
y − 2, 3y3 + 5y2 + 5y + 2
Divide 27y3 by 3y
