![ismailhajisaid29101](/avatars/11693.jpg)
ismailhajisaid29101
12.08.2020 •
Mathematics
3. 4.
5. 6.
7. 8. 9.
10. 11. 12. 13.
,
– x3 – 2x2 + x + 1 is divided by x - 1 .
Std 9 Holiday Assignment ( Maths A )
1. Write the coefficient of x2 in the following a) 2 + x2 + x b) 2 – 4x2 + x
2. Verify whether the following are the zeroes of the polynomial a P(x) = 3x -1 x = 1
3 211
b) P(x) = 3x -1 x =
√3
, -
√3
Find the remainder when x4
Using Factor Theorem determine whether g(x) is a factor of p(x)
i) P(x)= x3– 4x2+x+6 g(x)=x–3
ii) P(x) = 2x3 – 11x2 – 4x + 1 g(x) = 2x +1
Find the remainder when x3 – ax2 + 6x - a is divided by x - a .
Use suitable identities to find the products
i) ( x – 4 ) (x + 10) ii) ( 3x + 4 ) ( 3x – 5 ) iii) ( -3a +5b + 4c)2 Evaluate without actual multiplication
i) 95 x 96 ii) 103 x 107
Factorise using suitable identities
One of the factors of x4 +x2 – 20 is x2 + 5 , find the other factors. What must be added to 2x2 – 5x + 6 to get x3 - 3x2 + 3x -5 ?
If x + 2k is a factor of f(x) = x5 -4k2x3 + 2x +2k +3 , find ‘k’. By actual division find the quotient and remainder
i) 9x2 + 6xy + y2 Factorise
i) 6x2 + 5x – 6
ii) X2 –X+110
iii) 25y2 + 110y + 121 vi ) 25x2 + 36y2 + 49z2 + 60xy – 84yz – 70zx
iv)
i) ii) iii)
3x4 – 4x3 – 1 is divided by x + 1
p(x) = x5 + x4 + x3 +x2 + 2x + 2 by g (x) = x3 + 1
ii) 4y2 – 4y +1 iii) 8 + 64x3
iv) x3 + 13x2 + 32x + 20 vii)
v) 6x2 –17x+12 viii)4y3–2y2 –4y+2
p(x) = x6 + 3x2 +10 by q(x) = x4 +1
Using factor theorem factorise the polynomial x3 – 2x2 – x + 2
14.
15.If ( x3 + ax2 + bx + 6 ) has ( x – 2 ) as a factor and leaves a remainder 3
when divided by (x – 3 ) , find the values of ‘a’ and ‘b’ .
iv) ( 0.1x – 0.2y)2 x3 - 3x2 - 9x – 5
Solved
Show answers
More tips
- H Horoscopes, Magic, Divination How to Cast a Love Spell on a Guy? Guide for Guys...
- F Family and Home How to Sew Curtain Tapes: Best Tips from Professionals...
- S Style and Beauty How are artificial nails removed?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- F Food and Cooking The Disease That Haunted Abraham Lincoln...
- C Computers and Internet How to Get Rid of Windows Genuine Check?...
- H Health and Medicine How to perform artificial respiration?...
- S Style and Beauty Tricks and Tips: How to Get Rid of Freckles...
- C Computers and Internet How Do You Refill Cartridges?...
- A Auto and Moto Battle for the Relocation of The Cherkizovsky Market: Who Won?...
Answers on questions: Mathematics
- M Mathematics У = 3х +8 What is the y-intercept?...
- M Mathematics g Of 23 fast food restaurants in the city, a total of 5 were in violation of sanitary standards, a total of 6 were in violation of safety standards, and 3 were in violation of...
- M Mathematics PLEASE HELP ME ANYTHING WILL HELP JUST EXPLAIN HOW TO GET THE ANSWER X is increased by 50% and decreased by 30% . What is the result?...
- M Mathematics What is the midline equation of the function, g(x)=−sin(8x−3)+5...
- M Mathematics Students at Moreland Middle School must choose to take either French or Spanish language classes. The school has 472 students. 3 times as many students take Spanish as take French....
- M Mathematics A positive natural number is called cool when the number before him is one of his divisors. How many cool numbers are there?...
- M Mathematics Tiana would like to buy cone-shaped hats for her birthday partyShe wants hats with the largest volume, since they look bigger. Which of the following brands of hat should she...
- M Mathematics Points Q, B, and C. collinear coplanar O both collinear and coplanar neither collinear nor coplanar...
- M Mathematics Which linear inequality is represented by the graph? y ≤ One-thirdx − 1 y ≥ One-thirdx − 1 y 3x − 1...
- M Mathematics Write an expression for the situation described. Amount you spend if you buy a shirt for 20$ and jeans for j dollars....
Ответ:
Step-by-step explanation:
To prove that the two triangles similar we can use these postulates:
Angle-Angle Postulate: if two pairs of corresponding angles between two triangles are congruent, then, those triangles are similar.Side-Side-Side Postulate: if all corresponding sides between two triangles are proportional, or they are in a same proportion, then, those triangles are similar.Side-Angle-Side Postulate: If two pairs of corresponding angles are proportional, and one pair of corresponding angles (which are formed by the proportional sides) are congruent, then, those triangles are similar.So, in the problem, we know that one pair of corresponding triangles are congruent. Now, we require the congruence between another pair of corresponding angles to say that those triangles are similar by the Angle-Angle Postulate. That's the shortest way.