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Question
Choose the correct alternative answer for the following sub questions and write the correct alphabet.
Degree of quadratic equation is always ______
Options
1
2
3
4
Solution
2
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Activity:
One of the roots of equation kx2 – 10x + 3 = 0 is 3.
Putting x = `square` in the above equation
∴ `"k"(square)^2 - 10 xx square + 3` = 0
∴ `square` – 30 + 3 = 0
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Determine whether (x – 3) is a factor of polynomial x3 – 19x + 30.
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By remainder theorem, `square` will be a factor of P(x), if P(3) = 0
Now, P(3) = `square` – 19 `square` + 30
= `square – square` + 30
= `square – square`
= 0
∵ P(3) = 0
Hence, `square` is a factor of polynomial x3 – 19x + 30.
The value of the discriminant of the equation x2 + 6x – 15 = 0 is ______.
Is (x – 5) a factor of the polynomial x3 – 5x – 30?
