Advertisements
Advertisements
Question
If p(x) = x2 – 4x + 3, then evaluate : `p(2) - p(–1) + p(1/2)`
Solution
Given, p(x) = x2 – 4x + 3
Now, p(2) = (2)2 – 4 × 2 + 3
= 4 – 8 + 3
= –1
p(–1) = (–1)2 – 4(–1) + 3
= 1 + 4 + 3
= 8
And `p(1/2) = (1/2)^2 - 4 xx 1/2 + 3`
= `1/4 - 2 + 3`
= `(1 - 8 + 12)/4`
= `5/4`
∴ `p(2) - p(-1) + p(1/2) = -1 - 8 + 5/4`
= `-9 + 5/4`
= `(-36 + 5)/4`
= `(-31)/4`
APPEARS IN
RELATED QUESTIONS
Classify the following as linear, quadratic and cubic polynomial:
x2 + x
Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:
3x2 - 4x +15
Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:
`y^2 +2sqrt3`
Write the degree of the following polynomial:-
`5t - sqrt7`
Which of the following expression are polynomial? Justify your answer:
`sqrt(3)x^2 - 2x`
Which of the following expression are polynomial? Justify your answer:
`1/7 a^3 - 2/sqrt(3) a^2 + 4a - 7`
Which of the following expression are polynomial? Justify your answer:
`1/(2x)`
A binomial may have degree 5
Give an example of a polynomial, which is binomial of degree 20.
Classify the following as linear, quadratic and cubic polynomial:
y + y2 + 4
