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14 votes
14 votes
P2 + 13x + 42
Factorise this please

User Jinna Baalu
by
2.6k points

1 Answer

25 votes
25 votes

Answer:

Explanation:

STEPS USING FACTORING

a

2

−13a+42=0

To solve the equation, factor a

2

−13a+42 using formula a

2

+(a+b)a+ab=(a+a)(a+b). To find a and b, set up a system to be solved.

a+b=−13

ab=42

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 42.

−1,−42

−2,−21

−3,−14

−6,−7

Calculate the sum for each pair.

−1−42=−43

−2−21=−23

−3−14=−17

−6−7=−13

The solution is the pair that gives sum −13.

a=−7

b=−6

Rewrite factored expression (a+a)(a+b) using the obtained values.

(a−7)(a−6)

To find equation solutions, solve a−7=0 and a−6=0.

a=7

a=6

User SimplGy
by
3.0k points