Question

answer the picture.​

Answer 1

Step-by-step explanation:

explanation is above in picture

Answer 2

FIRST FACTORISE THE POLYNOMIAL
$6 - {x}^{2} - x$
BY SPLITTING THE TERM FORMULA WE CAN DO IT:-
FACTORS OF 6 = 1 × 6 , 2 × 3
$6 - x - x ^{2}$
SO WE CAN SPLIT THE MIDDLE TERM x.
3 × 2 IS THE PAIR OF THE FACTORS SUITABLE FOR THE SPLITTING OF MIDDLE TERM.

$6 + ( - 3 + 2)x - {x}^{2}$
$6 - 3x + 2x - x ^{2}$
$3(2 - x) + x(2 - x)$
BY REGROUPING WE FIND IT ,
$(3 + x)(2 - x)$
AS 2-x IS THE COMMON SO WE TAKE 2-x FOR ONE TIME.

WE HAVE TO REPRESENT ON THE GRAPH 3+x :-
WE HAVE TO FIND ZERO OF POLYNOMIAL:-
p(x) = 3 + x
x + 3 = 0
x = 0-3
x = (-3)
p(-3) = 3 + (-3)
p(-3) = 3 - 3
p(-3) = 0

SECONDLY, WE HAVE TO REPRESENT THE
2 - x :-
WE HAVE TO FIND ZERO OF POLYNOMIAL:-
p(x) = 2 - x
2 - x = 0
-x = 0-2
-x = (-2)
x = 2
p(2) = 2 - 2
p(2) = 0

WE REPRESENT THE 3 + x AND 2 - x ON THE GRAPH:-

BOTH WERE AT THE ORIGIN ONLY ON THE GRAPH.

HOPE THIS ANSWER HELPS YOU!

REGARDS,
SHUBHAM PANCHAL