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If you mean: x2+3x+2 then it is (x+1)(x+2) when factored
3x2 - 5x - 2 can be factored into (3x + 1) (x - 2)
If you mean: (x+2) and (x+1) then it is x^2+3x+2
(2x + 5)/(3x + 2); √(x² - 2x + 3) a
x2 + 3x - 5 is an expression, not an equation. An equation may have roots, an expression does not. However, x2 + 3x - 5 = 0 is an equation and its roots are -4.1926 and 1.1926 (approx).
If you mean: x2+3x+2 then it is (x+1)(x+2) when factored
To find the roots of the polynomial (3x^5 + 2x^3 + 3x), we can factor out the common term, which is (x): [ x(3x^4 + 2x^2 + 3) = 0. ] This shows that (x = 0) is one root. The quartic polynomial (3x^4 + 2x^2 + 3) does not have real roots (as its discriminant is negative), meaning it contributes no additional real roots. Therefore, the polynomial has only one real root, which is (x = 0).
(x + 1)(x + 2)
Quotient =3x 3 −x 2 −x−4 Remainder =−5
3x2 + 2x - 8 = 3x2 + 6x - 4x - 8 = 3x(x+2) - 4(x+2) = (3x-4)*(x+2)
15x^2+3x-12 3(5x^2+x-4)=Answer
(x + 1) and (x + 2) are monomial factors of the polynomial x2 + 3x + 2 (x + 1) and (x + 3) are monomial factors of the polynomial x2 + 4x + 3 (x + 1) is a common monomial factor of the polynomials x2 + 3x + 2 and x2 + 4x + 3
3x2-9x-30 =3x2+6x-15x-30 =3x(x+2)-15(x+2) =(3x-15)(x+2) OR 3(x - 5)(x+2)
5x2 + 3x - 2 is a polynomial so, we can say: p(x) = 5x2 + 3x - 2which is of the form of ax2 + bx + cFirst of all multiply the coefficient of x2 with cHere a = 5 and c = -2ac = 5(-2) = -10Break the coefficient of x i.e. b into two numbers such that the product of the numbers is equal to ac.We can't break 3 into two numbers so that their product is -10.So, it is not possible to factor p(x).
The product of (3x-1)(x+5) = 3x^2 +14x -5 by multiply out the brackets
To divide the polynomial ( x^3 - 6x^2 - 5 ) by ( x^2 + 3x - 2 ), you can use polynomial long division. The result is ( x - 9 ) with a remainder. Specifically, the quotient is ( x - 9 ) and the remainder can be expressed as a fraction over the divisor ( x^2 + 3x - 2 ). For the complete result, you would typically write it in the form ( x - 9 + \frac{R}{D} ), where ( R ) is the remainder.
To divide (x^2 + 3x - 2) by (x - 2), you can use polynomial long division or synthetic division. The result of dividing these two polynomials is (x + 5), with a remainder of 8.