Quadratic Functions
Chapter 1: Chapter 2 · Knowledge Base · EN medium
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In earlier classes we have learnt that for any z ∈ R and n ∈ N , z n = z · z · z · · · z ( n -times). A function of the form P ( x ) = ax + bx + c , where a, b, c ∈ R are constants and a = , is called a quadratic function. If P ( t ) = for some t ∈ R , then we say t is a zero of P ( x ) . Basic Algebra . . Quadratic Formula Is it possible to write the general quadratic function P ( x ) = ax + bx + c in the form a ( x − k ) + d ? The answer is yes. We can do this by the method called “ completing the square. ” We shall rewrite the function P ( x ) as follows: P ( x ) ax + bx + c a x + x b a + c a a x + x b a + b a − b a + c a ! a x + b a − a b a + c a x + b a + a b a − b b a + c ! .
📖 Namma Kalvi 11th Maths Textbook Volume 1 English Medium · Page 67
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In earlier classes we have learnt that for any z ∈ R and n ∈ N , z n = z · z · z · · · z ( n -times). A function of the form P ( x ) = ax + bx + c , where a, b, c ∈ R are constants and a = , is called a quadratic function. If P ( t ) = for some t ∈ R , then we say t is a zero of P ( x ) . Basic Algebra .
. Quadratic Formula Is it possible to write the general quadratic function P ( x ) = ax + bx + c in the form a ( x − k ) + d ? The answer is yes. We can do this by the method called “ completing the square.
” We shall rewrite the function P ( x ) as follows: P ( x ) ax + bx + c a x + x b a + c a a x + x b a + b a − b a + c a ! a x + b a − a b a + c a x + b a + a b a − b b a + c ! . Thus, P ( x ) a x + b a
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