Question

If one of the factors of x ² + 7x -44 is x - 4 then the other factor is ______________. *

x - 7

x + 7

x - 11

x + 11

​

Answer 1

Answer:

x+11

Step-by-step explanation:

x^2+7x-44

x^2+11x-4x-44

x(x+11) -4(x+11)

(x-4) (x+11)

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If one of the factors of x ² + 7x - 44 is x - 4 then the other factor is _______

• x - 7

• x + 7

• x - 11

• x + 11

EVALUATION

Here the given polynomial is

x ² + 7x - 44

We factorise it as below

$\sf {x}^{2} + 7x - 44$

$\sf = {x}^{2} + (11 - 4)x - 44$

$\sf = {x}^{2} + 11x - 4x - 44$

$\sf = x(x + 11) - 4(x + 11)$

$\sf = (x + 11) (x - 4)$

Thus two factors are x + 11 & x - 4

Since one of the factors of x ² + 7x - 44 is x - 4

Then the other factor is x + 11

FINAL ANSWER

Hence the correct option is x + 11

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