Question

dentify the pair of nouns which has the same singula (a) Table, Chair (b) Deer, Teeth Fish (c) Book, Scenery Fish, Series The word having the same singular and plural form of noun is: (a) dozen (1) family Louree burger (d) picture How many syllables the word "Helicopter" has? (a) Two (b) Three Four (d) Five​

Answer 1

Answer:

(a) Table, Chair (b) Deer, Teeth Fish (c) Book, Scenery Fish, Series The word having the same singular and plural form of noun is: (a) dozen (1) family Louree burger (d) picture How many syllables the word "Helicopter" has? (a) Two (b) Three Four (d) Five

Answer 2

Explanation:

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▪Given :-

For a Quadratic Polynomial

   

Sum of Zeros = 1

Product of Zeros = -30

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▪To Find :-

The Quadratic Polynomial.

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▪Key Point :-

If sum and product of zeros of any quadratic polynomial are s and p respectively,

Then,

The quadratic polynomial is given by :-

\bf  {x}^{2}  - s \: x + p x2 −sx+p

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▪Solution :-

Here,

Sum = s = 1

and

Product = p = -30

So,

Required Polynomial should be

  \bf{x}^{2}  - 1.x +  (-30) x2 −1.x+ (−30)

i.e.

\bf  {x}^{2} -x -30 x2 −x−30

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▪Verification :-

\begin{gathered} \sf {x}^{2} - x - 30 \\ \\ \sf {x}^{2} - 6x + 5x - 30 \\ \\ \sf x(x - 6) + 5(x - 6) \\ \\ \sf (x - 6)(x + 5)\end{gathered}x2−x−30x2−6x+5x−30x(x−6)+5(x−6)(x−6)(x+5)

So,

Zeros are 6 and -5

Sum = 6 + (-5) = 1 {VERIFIED}

Product = 6 × (-5) = -30 {VERIFIED}

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So, Required Polynomial is

\red{ \Large\bf  {x}^{2} -x -30} x2 −x−30

\begin{gathered} \Large \color{Purple}\mathfrak{  \text{W}hich \:   \: is  \:  \: the  \:  \: required }\\ \huge \color{navy} \mathfrak{ \text{ A}nswer.}\end{gathered} Which  is  the  required Answer.