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Factorise:
A) x^2 + 11x - 26
B) x^2 -5x -24
C) 9x^2 + 6x - 8

2 Answers

4 votes

Answer:

Explanation

A) To factorize x^2 + 11x - 26, we need to find two numbers that multiply to give -26 and add to give 11. These numbers are 13 and -2. Therefore, we can write:

x^2 + 11x - 26 = (x + 13)(x - 2)

B) To factorize x^2 -5x -24, we need to find two numbers that multiply to give -24 and add to give -5. These numbers are -8 and 3. Therefore, we can write:

x^2 -5x -24 = (x - 8)(x + 3)

C) To factorize 9x^2 + 6x - 8, we first need to factor out the common factor of 3:

9x^2 + 6x - 8 = 3(3x^2 + 2x - 8)

Now we need to find two numbers that multiply to give -24 and add to give 2. These numbers are 6 and -4. Therefore, we can write:

9x^2 + 6x - 8 = 3(3x + 4)(x - 2)

User Oswaldo Alvarez
by
8.4k points
0 votes

Answer:

X^2+(13-2)x -26

x^2+13x-2x-26

x(x+13) -2(x+13)

(x+13) (x-2)

User Rafa Alonso
by
8.5k points

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