CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Simplify:-
$${x^3} + 13{x^2} + 32x + 20$$


Solution

$$x^{3}+13x^{2}+32x+20$$
Put $$x=-1$$
$$-1+13-32+20$$
$$33-33$$
$$=0$$
Hence $$(x+1)$$ is a factor of the eqn

$$\qquad \quad { x }^{ 2 }+12x+20\\ \left. x+1 \right) \overline { { x }^{ 3 }+13{ x }^{ 2 }+32x+20 } \\ \qquad \quad { x }^{ 3 }+{ x }^{ 2 }\\ \qquad \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \\ \qquad \qquad \ \ \ 12{ x }^{ 2 }+32x\\ \qquad \qquad \ \ \ 12{ x }^{ 2 }+12x\\ \qquad \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_\_ \_  \\ \qquad \qquad \qquad \quad  20x+20\\ \qquad \qquad \qquad \quad 20x+20\\ \qquad \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \\ \qquad \qquad \qquad \qquad 0$$

$$(x+1)(x^{2}+12x+20)$$
$$(x+1)(x^{2}+10x+2x+20)$$
$$(x+1)(x(x+10)+2(x+10))$$
$$(x+1)(x+10)(x+2)$$








Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image