Question

x^2-5x-24 answer the question ​

Answer 1

ANSWER:

• Factorisation of x²-5x-24 is (x-8)(x+3).

GIVEN:

• x²-5x-24

TO FIND:

• Factorise the above expression.

SOLUTION:

= x²-5x-24

= x²-8x+3x-24

= x(x-8)+3(x-8)

= (x-8)(x+3)

Factorisation of x²-5x-24 is (x-8)(x+3).

NOTE:

Some important formulas:

(a+b)² = a²+b²+2ab

(a-b)² = a²+b²-2ab

(a+b)(a-b) = a²-b²

(a+b)³ = a³+b³+3ab(a+b)

(a-b)³ = a³-b³-3ab(a-b)

a³+b³ = (a+b)(a²+b²-ab)

a³-b³ = (a-b)(a²+b²+ab)

(a+b)² = (a-b)²+4ab

(a-b)² = (a+b)²-4ab

Answer 2

Answer:

Given:

We have been given a quadratic polynomial x^2 - 5x - 24.

To Find:

We need to find the factors of this polynomial. We need to factorise this.

Solution:

We can factorise this polynomial by the method of splitting the middle term.

We need to find two such numbers whose sum is -5 and product is -24.

The two such numbers are -8 and +3.

So, we get

x^2 - 8x + 3x - 24 = 0

= x(x - 8) + 3(x - 8) = 0

= (x - 8)(x + 3)

Either (x - 8) = 0 or (x + 3) = 0.

When x - 8 = 0

=> x = 8

When x + 3 = 0

=> x = -3

Hence, the factors of x^2 - 5x - 24 are

(x - 8)(x + 3).