pls solve it, urgent
Answers
Answer:
The other factor will be (x-4)
Step-by-step explanation:
Use middle term splitting and you can get the answer.
Check the attachments
ANSWER :–
Factor => (x - 4)
Given :–
A quadratic equation x² + x - 20 = 0 have one factor (x+5) .
TO FIND :–
Another factor of quadratic equation.
Solution :–
• We should write a quadratic equation as factor form –
=> ax² + bx + c = a(x - p)(x - q) [ where p,q are roots]
• So that –
=> x² + x - 20 = 1(x - p)(x - q)
• But it's one root is x = - 5 .
=》 So that –
=> x² + x - 20 = (x + 5) (x - q) ........(1)
=> x² + x - 20 = x² + 5x - qx - 5q
• Now compare –
=> q = 4
• Now put q = 4 in equation (1) –
=> x² + x - 20 = (x + 5) (x - 4)
=》 Another factor is (x - 4).
● Hence , Option (A) is correct .