Solve the following

Question:

Factorise:
x2 + 15x + 56

Solution:

The given expression is $x^{2}+15 x+56$.

Find two numbers that follow the conditions given below:

Sum $=15$

Product $=56$

Clearly, the numbers are 8 and 7 .

$x^{2}+15 x+56=x^{2}+8 x+7 x+56$

$=x(x+8)+7(x+8)$

$=(x+8)(x+7)$

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Comments

Tangela Whetsel
Feb. 11, 2023, 12:26 p.m.
Hello esaral.com webmaster, Your posts are always well researched.
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