Question

. -3 is a zero of the polynomial *

3x2 + 6
3x2 + 6x
3x2 + 9x
3x2 - 9x​

Answer 1

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Given :-

• -3 is a zero of the polynomial

To Find :-

• The polynomial

Solution :-

If -3 is the zero of the polynomial, then p(-3) = 0.

To Understand : You have to substitute the value of x as -3 in each of the options and it is the zero of the polynomial if the answer equates to 0.

❌ OPTION A :

$\to \: 3 {x}^{2} + 6 \\ \to3 {( - 3)}^{2} + 6 \\ = 27 + 6 \\ = 33 \not=0$

❌ OPTION B :

$\to \: 3 {x}^{2} + 6x \\ \to3 {( - 3)}^{2} + 6( - 3) \\ = 27 - 18 \\ = 9 \not=0$

✅ OPTION C :

$\to \: 3 {x}^{2} + 9x \\ \to3 {( - 3)}^{2} + 9( - 3) \\ = 27 - 27 \\ = 0 =0$

$\underline\frak{\therefore \: The \: zero \: of \: the \: polynomial \: is \: - 3}$

❌ OPTION D :

$\to \: 3 {x}^{2} - 9x \\ \to3 {( - 3)}^{2} - 9( - 3) \\ = 27 + 27 \\ = 54 \not=0$

@SweetestBitter