Math, asked by Hruthika1956, 6 months ago

find the zeores of a quadratic polynomial 4x^2 +8x​

Answers

Answered by prabhukiransurisetti
1

Answer:

The zero of the quadratic polynomial 4x² +8x​ is -2

Step-by-step explanation:

For finding the zeroes of the polynomial,

We have to equate the polynomial to 0

i.e.,4x²+8x=0

4x²= -8x

We get,4x= -8

x= -2

Hope it helps you..

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Answered by RISH4BH
78

ɢɪᴠᴇɴ:

  • A quadratic Polynomial is given to us.
  • The polynomial is 4x²+8x.

ᴛᴏ ғɪɴᴅ:

  • The zeroes of the quadratic polynomial.

ᴀɴsᴡᴇʀ:

Given polynomial is 4x²+8x .

So for finding zeroes we will equate it with 0.

\sf{\implies 4x^2+8x = 0}

\sf{\implies 4x ( x +2 ) = 0 }

\sf{\implies 4x = 0\:\:\:\:or\:\:\:\: (x+2)=0}

\underline{\boxed{\red{\tt{\mapsto x = 0,-2}}}}

\green{\tt{Hence\: required\: two\: zeroes\:are\:0\:and\:(-2)}}

_______________________________

\underline{\blue{\tt{More\: related\:questions\:and\: answers}}}

\underline{\underline{\red{\bf{i)What\:is\: polynomial?}}}}

  • The expression in the form of p(x)=\sf{a_0+a_1 x +a_2 x^2+.......+a_n x^n} where \sf{a_n\neq 0} is called a polynomial.
  • Ex - 2x²+5x+4

\underline{\underline{\red{\bf{ii) What\:are\:zeroes\:of\: polynomial?}}}}

  • A real number ß is called a zero of the polynomial p(x) , if p(ß)=0.

\underline{\underline{\red{\bf{iii)What\:is\:degree\:of\: polynomial?}}}}

  • The highest power of the variable is called the degree of polynomial.

\underline{\underline{\red{\bf{iv) What\:is\:classification\:on\:basis\:of\:degree?}}}}

  • On the basis of degree polynomial are generally classified as
  1. Linear polynomial - Polynomial of degree 1.
  2. Quadratic polynomial - Polynomial of degree 2.
  3. Cubic polynomial -Polynomial of degree 3
  4. Biquadratic polynomial - Polynomial of degree 4 .

\underline{\underline{\red{\bf{v)What\:is\: classification\:on\:basis\:of\:number\:of\:teem?}}}}

  • On the basis of number of terms Polynomial are generally classified as:
  1. Monomial - Have only one term.
  2. Binomial - Have two terms.
  3. Trinomial - Have three terms.
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