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Trinomials of the Form ax² ± bx ± c

ax2+bx+c can ...

Question

$a x^{2} + b x + c$ can be factorised using the method of 'splitting the middle term' if $b^{2} - 4 a c$ is a perfect square.

A

False

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B

True

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Solution

The correct option is B True

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Similar questions

Q. For the equation

a x^{2} + b x + c = 0

which of the following statements is incorrect?
(a) If (b² − 4ac) < 0, the roots are imaginary.
(b) If (b² − 4ac) = 0, the roots are real and equal.
(c) If (b² − 4ac) > 0 and (b² − 4ac) is a perfect square, then the roots are rational and unequal.
(d) (b² − 4ac) < 0, the roots are irrational.

a, b, c

b^{2} - 4 a c

is perfect square then the roots of the equation

a x^{2} + b x + c = 0

Q. Factorize using middle term splitting method
8 n square+ 10 n - 1272

a x^{2} + b x + c

is a perfect square, then

b^{2} =

Q. Assertion :If

a > 0

b^{2} - 4 a c < 0.

then the value of the integral

\int \frac{d x}{a x^{2} + b x + c}

will be of the type

μ {tan}^{- 1} (\frac{x + A}{B}) + C;

A, B, C, μ

are constant. Reason: If

a > 0, b^{2} - 4 a c < 0,

a x^{2} + b x + c

can be written as sum of two squares.

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