factors of polynomials

You know that any polynomial of the form p(a) can also be written as p(a) = g(a) x h(a) + R(a) it implies that Dividend = Quotient X Divisor + Remainder. If the remainder is zero, then p(a) = g(a) x h(a). That is, the polynomial p(a) is a product of two other polynomi..

Which choice is an example of a polynomial equation that can be solved by factoring? => 3 x + 7 = - 8 or 3 x + 4 y = 7 and x - 3 y = 4 or x 2 - 64 = 0 or None of the above..

If a polynomial can be written as the product of two or more expressions, then each expression is called the factor of the given polynomial.If a polynomial can be written as the product of two or more expressions, then each expression is called the facto..

Factorization - Writing a polynomial as the product of two or more polynomials is called factorisation. If A = B x C, B and C are called factors of A. Most of the polynomials can be factorised by grouping the terms suitably and taking out the common..

Writing a polynomials as the product of two or more polynomials is called factorisation. If A = B x C, B and C are called factors of A. Methods of Factorisation: (i) Common factors (ii) By expressing as difference of squares (iii) By grouping (iv) Trinomia..

Factor the polynomial by factoring the terms in pairs: 4 a 3 - 10 a 2 - 6 a + 15 => (2 a + 5) (2 a 2 - 3) or (2 a - 5) (2 a 2 + 3) or (2 a + 5) (2 a 2 + 3) or (2 a - 5) (2 a 2 - 3)..

If y - 2 is a factor of the polynomial, then factor the polynomial, 4 y 3 - 8 y 2 - 9 y + 18 completely. => ( y - 2)(2 y + 3)(2 y - 3) or ( y - 2)(2 y + 3) or ( y - 2)(2 y - 3)(2 y - 3) or ( y - 2)(3 y + 2)(3 y - 2)..

Which of the following is/are the factors of the polynomial r 4 + 33 r 2 + 841 . => ( r 2 + 5 r + 2 9 ) or ( r 2 - 5 r + 2 9 ) or ( r 2 + 5 r - 2 9 ) or Both A and B or Both A and C..

Use the synthetic division, to find whether the first polynomial is a factor of the second polynomial and factor completely the second polynomial: x + 2 i ; x 3 + 3 x 2 + 4 x + 12 => Yes, ( x + 2 i )( x + 4)( x - 2 i ) or No, ( x + 2 i )( x - 3)( x ..

Statement - If p(x), a polynomial in x is divided by x-a and the remainder = f (a) is zero, then (x-a) is a factor of p(..