Math, asked by Joshighasri, 11 months ago

how the zeros of the polynomial x square - 7x + 12 are

Answers

Answered by Anonymous
7

Note:

To find the zeros of a polynomial, equate it to zero.

Here,

The given quadratic polynomial is;

x^2 - 7x + 12.

Hence, to get the zeros of the given polynomial, equate it to zero.

ie;

=> x^2 - 7x + 12 = 0

=> x^2 - 4x - 3x + 12 = 0

=> x(x - 4) - 3(x - 4) = 0

=> (x - 4)(x - 3) = 0

=> (x - 4) = 0 OR (x - 3) = 0

=> x = 4 OR x = 3

Hence,

The zeros of the given polynomial are

4 and 3.

Answered by Anonymous
3

Answer:-

Zeros of this polynomial are 3 and 4

Step - by - step explanation:-

Find :-

Find zeros of the given polynomial

Given polynomial:-

 {x}^{2}   - 7x + 12 = 0 \\  \\  \implies \:  {x}^{2}  - 4x - 3x + 12 = 0 \\  \\  \implies \: x(x - 4) - 3(x - 4) = 0 \\  \\  \implies \: (x - 4)(x - ) = 0 \\  \\  \star \:  \: if \: x - 4 = 0 \\    \:  \: \green{ x = 4 }\\  \\  \star \:  \: if \: x - 3 = 0 \\  \:   \red{\: x = 3}

Hope it helps you.

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