Question

Factors of x + ax + b are (x – 7) and (x + 9) then the value of a and b is :

(1) a = 2, b = – 63
(2) a = – 2, b = 63

(3) a = – 2, b = – 63
(4) a = 2, b = 63
step-by-step explanation please​

Answer 1

(1.) a = 2 and b = -63

Step-by-step explanation:

(x-7)(x+9)

x(x+9) -7(x+9)

x²+9x-7x-63

x²+2x-63

Therefore a= 2 and b= -63

Answer 2

Answer:

The value of a is 2;

The value of b is -63;

Explanation:

The given expression is x² + ax + b.

and it is also given that: (x – 7) and (x + 9) are the factors of the expression x² + ax + b.

That means:

(x – 7) and (x + 9) are the roots of the equation x² + ax + b =0;

So,

By using the roots, we can find the equation;

⇒(x -7)(x +9) = 0

⇒x² + 9x - 7x - 63 = 0;

⇒x² + 2x - 63 = 0;

So, Now we can compare the equation x² + 2x - 63 = 0; with x² + ax + b =0;

we get:

a = 2;

b = -63;

Therefore,

The value of a is 2;

The value of b is -63;

To learn more about the factors of the equation, visit:

https://brainly.in/question/20057116

To learn more about the equations visit:

https://brainly.in/question/9605334

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