at how many points graph of linear polynomial intersects x axis
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polynomials in one variable and their degrees. Recall that if p(x) is a polynomial in x, the highest power of x in p(x) is called the degree of the polynomial p(x). For example, 4x + 2 is a polynomial in the variable x of degree 1, 2y2 – 3y + 4 is a polynomial in the variable y of degree 2, 5x3-4x2+x-&radic2; is a polynomial in the variable x of degree 3 and 7u6-(3/2)u4+4u2+u-8 is a polynomial in the variable u of degree 6. Expressions like 1/(x -1), √x+2, 1/(x6+2x+3) etc., are not polynomials.
A polynomial of degree 1 is called a linear polynomial. For example, 2x – 3,√3x+5, y+√2, x-(2/11), 3z+4, (2/3)u+1, etc., are all linear polynomials. Polynomials such as 2x + 5 – x2, x3 + 1, etc., are not linear polynomials.
A polynomial of degree 2 is called a quadratic polynomial. The name ‘quadratic’ has been derived from the word ‘quadrate’, which means ‘square’. 2x2+ 3x − (2/5), y2 – 2, 2 – x2+√3x, (u/3) – 2u2+5, √5v2 – (2/3)v, 4z2+(1/7) are some examples of quadratic polynomials (whose coefficients are real numbers). More generally, any quadratic polynomial in x is of the form ax2 + bx + c, where a, b, c are real numbers and a ≠ 0. A polynomial of degree 3 is called a cubic polynomial. Some examples of a cubic polynomial are 2 – x3,x3,√2x3, 3 – x2+x3, 3x3 – 2x2+x-1. In fact, the most general form of a cubic polynomial i
A polynomial of degree 1 is called a linear polynomial. For example, 2x – 3,√3x+5, y+√2, x-(2/11), 3z+4, (2/3)u+1, etc., are all linear polynomials. Polynomials such as 2x + 5 – x2, x3 + 1, etc., are not linear polynomials.
A polynomial of degree 2 is called a quadratic polynomial. The name ‘quadratic’ has been derived from the word ‘quadrate’, which means ‘square’. 2x2+ 3x − (2/5), y2 – 2, 2 – x2+√3x, (u/3) – 2u2+5, √5v2 – (2/3)v, 4z2+(1/7) are some examples of quadratic polynomials (whose coefficients are real numbers). More generally, any quadratic polynomial in x is of the form ax2 + bx + c, where a, b, c are real numbers and a ≠ 0. A polynomial of degree 3 is called a cubic polynomial. Some examples of a cubic polynomial are 2 – x3,x3,√2x3, 3 – x2+x3, 3x3 – 2x2+x-1. In fact, the most general form of a cubic polynomial i
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1 because linear equation has unique solution and polynomial having unique solution interest x axis at one point..
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