Question

Factories 3x^2-16x-21​

Answer 1

✔️ Factor 16 out of 16x:

$\implies {3x}^{2} + 16(x) + 21$

✔️ Rewrite 16 as 7 plus 9:

$\implies {3x}^{2} + (7+9)x + 21$

✔️ Apply the distributive property:

$\implies {3x}^{2} + 7x + 9x + 21$

✔️ Factor out the greatest common factor from each group:

✔️ Group the first two terms and the last two terms:

$\implies ({3x}^{2} + 7x) + 9x + 21$

✔️ Factor out the greatest common factor (GCF) from each group:

$\implies x(3x+7) + 3(3x+7)$

✴️ Factor the polynomial by factoring out the greatest common factor, $\boxed {3x + 7}$

Answer 2

$\Huge{\orange{\underline{\underline{\tt{ Question }}}}}$

$\large{\green{\underline{\tt{ Factorise \: 3{x}^{2} - 16x + 21 }}}}$

$\huge{\purple{\underline{\underline{\tt{ Answer}}}}}$

$\large{\blue{\tt{\implies \: 3{x}^{2} - 16x + 21}}}$

$\large{\blue{\tt{\implies\: 3{x}^{2} - ( 9 + 7 )x + 21 }}}$

$\large{\blue{\tt{\implies \: 3{x}^{2} - 9x -7x + 21 }}}$

$\large{\blue{\tt{\implies \: 3x ( x - 3 ) - 7 ( x - 3 )}}}$

$\large{\blue{\tt{\implies( x- 3 )( 3x - 7 ) \: Ans. }}}$