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Polynomials

Short Answer Type

241. Simplify: (5a + 3b)³ - (5a - 3b)³

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242. Simplify: (x + y + z)² -(x + y - z)²

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243. Factorise: ax² + y² + z² - 6xy + 2yz - 6zx. Hence find its value if x = 1, y = 2 and z = -1.

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244. The volume of a cube is given by the polynomial p(x) = x³ - 6x² + 1 2x - 8. Find the possible expression for the sides of the cube. Verify the truth of your answer when the length of cube is 3 cm.

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Multiple Choice Questions

245. Which of the following is a polynomial?

$straight x squared plus straight x plus 3 over straight x squared$
$square root of straight x plus 5$
x^3/4- 7x + 4
x^3/4- 7x + 4

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246. The number 0 is called a

zero polynomial
binomial
trinomial
trinomial

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247. A polynomial having one term is called

monomial
binomial
trinomial
trinomial

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248. The degree of a zero polynomial is

0
not defined
1
1

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249. The degree of a quadratic polynomial is

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250. A cubic polynomial has at most
3 terms
4 terms
6 terms
6 terms

4 terms

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