4 The polynomial p(x) is defined by p(x)=ax^3+3x^2+4ax-5,where a is a constant. It is given that (2x - 1) is a factor of p(x).(i)Use the factor theorem to find the value of a.(ii) Factorise p(x) and hence show that the equation p(x) = 0 has only one real r...
4The polynomial f(x) is defined b f(x)=18x^3-3x^2-28x-12 .(a)(i) Use the Factor Theorem to show that (3.x+2) is a factor of f(x).[2 marks](ii) Express f(x) as a product of linear factors.[3 marks](b) The function g is defined for all real values of ...
If so, write the polynomial in standard form. x^2 + 4x- 7 What is easy way to understand prime factorization? Factor 9+21 4x^2-12x in form of (2x+a)^2 +b What is the purpose of the diaphragm? What are functions in mathematics? Why are sometimes sugars referred to by their ...
What is the discriminant of 3x^2 - 10x = -2? The Discriminant of a Quadratic Equation A polynomial equation in the same type of variable that has degree two is known as the quadratic equation. Mathematically, a standard quadratic equation can be expressed as: ...
Find the zeroes of the polynomial: 6x2−7x−3 View Solution Find the zero of the polynomial 3x+5 . View Solution Knowledge Check What will be the number of real zeros of the polynomial x2+1 ? A-1 B0 C1 D2Submit One of the zeroes of the polynomial 2x2+7x−4 is A2 B12 ...
Complete the following table by stating whether the polynomial is a monomial, binomial, or trinomial; then list its terms and state its degree.(1)x^2-3x+7(2)-8(3)x-x^2+x^3-x^4(1)Trinomial; x^2, -3x, 7; 2(2)Monomial; -8; 0(3) A. that is about traveling B. that is ...
1 The polynomial f(x) is define d by f(x)=2x^3+x^2-8x-7 .(a) Use the Remainder Theorem to fin d the remainder when f(x) is divide d by (2x+1).(2 marks)(b) The polynomial g(x) is define d by g(x)= f(x)+d, where d is a constant.(i) Given that (2...
A quadratic polynomial is a polynomial with degree two. To define a quadratic polynomial, we must first understand what a polynomial is and be familiar with its characteristics. One characteristic, in particular, is the degree of a polynomial. If we know what a polynomial is and its degree, ...
x+2 a factor of the polynomial f(x)=x3−3x+2? How do you know? Factors of a Polynomial:A zero of a polynomial are values that, when substituted into the polynomial, gives a result of 0. A factor of a polynomial is one of the expressions in the factorizat...
021 If one zero of the polynomial (a^2+9)x^2+13x+6a is the reciprocal ... 03:25 Find a quadratic polynomial whose zeros are 2 and -5. 01:09 If the zeros of the polynomial f(x)=x^3-3x^2+x+1 are a-b ,\ \ a ,\ \ a... 01:53 Verify that 2 is a zero of the po...