Question

$\rm{Find \: the \: value \: of \: the \: polynomial } \\ \bf{ {4t}^{4} + {5t}^{3} - {t}^{2} + 6} \\ \rm{at} \: \: \bf{ t = a}$
Don't spam!!
otherwise strictly reported!!
ans with full explanation!
​

Answer 1

EXPLANATION.

Value of the polynomial.

⇒ 4t⁴ + 5t³ - t² + 6  at  t = a.

As we know that,

Put the value of t = a in the equation, we get.

⇒ p(a) = 4a⁴ + 5a³ - a² + 6.

                                                                                                                           

MORE INFORMATION.

Nature of the roots of the quadratic expression.

(1) = Real and unequal, if b² - 4ac > 0.

(2) = Rational and different, if b² - 4ac is a perfect square.

(3) = Real and equal, if b² - 4ac = 0.

(4) = If D < 0 Roots are imaginary and unequal Or complex conjugate.

Answer 2

Answer:

4a⁴ + 5a³ - a² + 6

Step-by-step explanation:

Let,

p(t) = 4t⁴ + 5t³ - t² + 6

They asked to find the value at a

So let us apply a instead of t

i.e.,

p(a) = 4a⁴ + 5a³ - a² + 6