Question

find zeroes of polynomial for
1. x square - x- 12
2. x square - 6x +9
3. x square - 4x5
4. x square + 3x - 4
5. x square - 1​

Answer 1

$\huge{\boxed{\mathcal\pink{\fcolorbox{red}{white}{Answer}}}}$

1.

${x}^{2} - x - 12 \\ {x}^{2} - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3)$

so the zeros of this polynomial are

$x = 4 \: and \: x = - 3$

2.

${x}^{2} - 6x + 9 \\ {x}^{2} - 3x - 3x + 9 \\ x(x - 3) - 3(x - 3) \\ (x - 3)(x - 3)$

so the zeros of this polynomial are

x=3