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प्रश्न
Using division of polynomials, state whether
x + 6 is a factor of x2 − x − 42
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उत्तर
Remainder is zero. Hence (x+6) is a factor of x2 -x-42
संबंधित प्रश्न
Divide the given polynomial by the given monomial.
(3y8 − 4y6 + 5y4) ÷ y4
Divide the given polynomial by the given monomial.
(x3 + 2x2 + 3x) ÷ 2x
Which of the following expressions are not polynomials?
Write each of the following polynomials in the standard form. Also, write their degree.
a2 + 4 + 5a6
Divide x4 + x2 + 1 by x2 + x + 1.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15y4 − 16y3 + 9y2 −\[\frac{10}{3}\] y+6 | 3y − 2 |
Divide `15 y^4 + 16 y^3 + 10-3 y - 9y^2 - 6` by 3y − 2. Write down the coefficients of the terms in the quotient.
Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
Divide:
Statement A: If 24p2q is divided by 3pq, then the quotient is 8p.
Statement B: Simplification of `((5x + 5))/5` is 5x
