Q1. Classify the following as linear, quadratic and cubic polynomials:
(i) 4 + 5 (ii) 2
2 + 5 (iii) 5
3 + 6
2
(iv) 2 + 4 (v)
2 −
5
2
(iv) 2
3 + 4
2 + 5 + 7 (vii) + √3 (viii) 5
2 + 3 + (ix) 5 −
2 +
3
(x) 4
3
Q2. Write the coefficients of
2
in each of the following:
(I)
4
2 + 5
0
(ii) 9
3 − 5
2 + 4 − 6 (iii) −
3 + 6
2 − 5 + 3 (iv) 4√2
2 + 5
(v) 5 − √3
2 + 4
3
(vi) 3 + 7
2 −
Q3. Write the degree of each of the following polynomials:
(i) + √2 (ii)
30 +
15 + 4 (iii) 2 − −
3 + 5
10
(iv) 5
3 − 6
2
(v)
150
Q4. Find the value of the polynomial () =
2 − 5 + 6 at (i) = 2 , (ii) = −2
Q5. Find the value of each of the following polynomials at indicated value of variables:
(i) () = 4
4 + 5
3 −
2 + 8 = −1 (ii) () = 5
3 − 2
2 + 3 − 4 = 1, −1
Q6. Verify whether the following are zeroes of the polynomials, indicated against them.
(i) () = + , =
−
(ii) g() = 2
2 + − 1, =
−1
2
(iii) () = 2 + 3, =
−3
2
Q7. Find the zero of the Polynomial in each of the following cases:
(i) () = 5 (ii) () = + , ≠ 0, , s
(iii) () = −4 + 5 (iv) () = 3 + 1
Q8. Find the zero of the polynomial in each of the following cases:
(i) () = 3 − 4 (ii) () = 3 + 4 (iii) () = 7
Q9. Give zeroes of the polynomial () = ( − 1)( − 2)( − 3)( − 4)
Q10. If () =
2 − 4 + 6, (1) − (−1)
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- Copper, brass, and bronze are part of a category of metals known as “red metals”, which are characterized by their reddish tint. While copper is a pure metal, brass and bronze are copper alloys (brass is a combination of copper and zinc; bronze is a combination of copper and tin).
- Perhaps the best way to distinguish between brass and bronze is through their color. Brass usually has a muted yellow shade, much like dull gold, which makes it a good material for furniture and fixtures. Bronze, on the other hand, looks almost always a reddish brown.
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