Math, asked by hoodanancy449, 6 months ago

$x ^{2} + 11x + 28$
factorize this equation step by step

Answers

Answered by BrainlyNisha001

$\huge\mathfrak\blue{Answer:-}$

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x^2 = 11x - 28 , in this two solutions can be found, x = 7 and x = 4

Method:

First, by rearranging the equation by subtracting what is to the right of the equal sign from both sides of the equarion:

x^2 - 11*x - (-28) = 0

STEP BY STEP SOLUTION:

Factoring x^2 - 11x + 28

The first you see is, x^2 it's coefficient is 1.

The middle term is, - 11x it's coefficient is - 11.

The last term, "the constant", is + 28.

Step-1: Multiply the coefficient of the first term by the constant, that is,

$1 \times 28 = 28$

Step-2: Find two factors of 28 whose sum equal the coefficient number of the middle term, which should - 11.

$- 28 + 1 = ( - 29) \\ - 14 + ( - 2) = ( - 16) \\ - 7 + ( - 4) = ( - 11)$

That's it!!

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 7 and - 4.

${x}^{2} - 7x - 4x - 28$

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

$x \times (x - 7)$

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

$4 \times (x - 7)$

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

$(x - 4) \times (x - 7)$

_____♡

Hope it helps you ❤️

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Answered by Anonymous

Answer:

${\sf{\underline{\red{Answer:-}}}}x^2 = 11x - 28 , in this two solutions can be found, x = 7 and x = 4Method:First, by rearranging the equation by subtracting what is to the right of the equal sign from both sides of the equarion:x^2 - 11*x - (-28) = 0STEP BY STEP SOLUTION:➜Factoring x^2 - 11x + 28The first you see is, x^2 it's coefficient is 1.The middle term is, - 11x it's coefficient is - 11.The last term, "the constant", is + 28.→Step-1: Multiply the coefficient of the first term by the constant, that is, 1 × 28 = 28→Step-2: Find two factors of 28 whose sum equal the coefficient number of the middle term, which should - 11.- 28 + -1 = -29- 14 + -2 = -16- 7 + - 4 = -11 That's it!!→Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 7 and - 4.x^2 - 7x - 4x - 28→Step-4: Add up the first 2 terms, pulling out like factors:x × (x - 7)Add up the last two terms, pulling out common factors:4 × (x - 7)→Step-5: Add up the four terms of step 4:(x - 4) × (x - 7)[Tex]\boxed{\red{which/:is/:desired/:as/:factorisation}}$