Question

Answer the following correctly

Answer 1

(1)

${12x}^{2} - 7x + 1$

$= {12(3)}^{2} - 7(3) + 1$

$= 12(9) - 7(3) + 1$

$= 108 - 21 + 1$

$= 88$

(2)

${ax}^{3} + {x}^{2} - 2x + 4a$

$= {a( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 4a$

$= a( - 1) + 1 + 2 + 4a$

$= - a + 1 + 2 + 4a$

$= 3a + 3$

$- 3 = 3a$

$- 1 = a$

(3)

$96 \times 104$

$= (96)(104)$

$= (100 - 4)(100 + 4)$

$= {100}^{2} - {4}^{2}$

$= 10000 - 16$

$= 9984$

(4)

${x}^{3} + 13 {x}^{2} + 32x + 20$

$(x + 10)( {x}^{2} + 3x + 2)$

$(x + 10)( {x}^{2} + x + 2x + 2)$

$(x + 10)((x)(x + 1) + 2(x + 1))$

$(x + 10)(x + 1)(x + 2)$

Hope this helps.

Thanks.