Question

x²+5x-24. Find the zeros and relation between zeros.​

Answer 1

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Factoring x2-5x-24

The first term is, x2 its coefficient is 1 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -24

Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3

x2 - 8x + 3x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-8)

Add up the last 2 terms, pulling out common factors :

3 • (x-8)

Step-5 : Add up the four terms of step 4 :

(x+3) • (x-8)

Which is the desired factorization

Equation at the end of step1

:

(x + 3) • (x - 8) = 0

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Answer 2

Factoring x2-5x-24

The first term is, x2 its coefficient is 1 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -24

Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3

x2 - 8x + 3x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-8)

Add up the last 2 terms, pulling out common factors :

3 • (x-8)

Step-5 : Add up the four terms of step 4 :

(x+3) • (x-8)

Which is the desired factorization

Equation at the end of step1

:

(x + 3) • (x - 8) = 0

hope it helps you dear ❣️

brainlist please ❣️